Q3).
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
Answers
Step-by-step explanation:
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given pair of linear equations are
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]
can be rewritten as on multiply by 10,
[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]
From equation (2)[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]
[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]
On substituting the value of y in equation (1), we get
[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]
[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]
[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]
[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]
[tex]\rm :\longmapsto\:29x = 58[/tex]
[tex]\bf\implies \:x = 2 - - - - (4)[/tex]
On substituting x = 2 in equation (3), we get
[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]
[tex]\bf\implies \:y = 3[/tex]
So, we get
[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]
VerificationFrom equation (1),
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]
On substituting the value of x and y, we get
[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]
[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]
[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]
Hence, Verified▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Basic Concept :-To solve systems using Method of Substitution, follow this procedure:
1. Select one equation and solve it for one of its variables.
2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.
3. Solve the equation to get the value of this variable
4. Substitute the value found in to first equation involving both variables and solve for the other variable.
Related Questions
i need help with this math problem ( 100)
what is the square root for 25?
Answers
Answer:
± 5
Step-by-step explanation:
[tex]\sqrt{25}[/tex] = ± 5 , that is
+ 5 or - 5 , since
+ 5 × + 5 = 25 and - 5 × - 5 = 25
13 add (-20) answer plz
Answers
Step-by-step explanation:
13 + (-20) = 13 - 20 = -7
HOPE IT HELPS
Answer:
-7
Step-by-step explanation:
I'd recommend at least trying the problem before asking for help. This is a simple subtraction/addition problem.
13 add (-20) is 13 + (-20), which is 13 - 20.
13-20 = -7
What is the following product?
[tex] \sqrt[4]{7} \times \sqrt[4]{7} \times \sqrt[4]{7} \times \sqrt[4]{7} [/tex]
a.4(
[tex] \sqrt[4]{7} [/tex]
b. 4
[tex] \sqrt{7} [/tex]
c.7^4
d.7
Answers
Answer:
D
Step-by-step explanation:
[tex]\sqrt[4]{(7)(7)(7)(7)}[/tex] = [tex]\sqrt[4]{2401}[/tex] = 7
You can just multiply the radicands together since they're all 4th roots.
Show a different way to solve 25 x 28
Answers
Answer:
700=25x28
Step-by-step explanation:
The product of the two given numbers is 700.
The given expression is 25 × 28.
We need to find the product of these two numbers in different ways.
What is the distributive property of multiplication?The distributive property of multiplication over addition states that multiplying the sum of two or more addends by a number gives the same result as multiplying each addend individually by the number and then adding the products together. This property of multiplication over addition is used when we need to multiply a number by a sum.
Now, direct multiplication 25 × 28=700
Using distributive property we get 25 × (20+8)
=25 × 20 + 25 × 8
=500 + 200
=700
Therefore, the product of two given numbers is 700.
To learn more about the distributive property visit:
https://brainly.com/question/13130806.
#SPJ2
|y+6|=2.Consider the equation
Answers
Answer:
-4
Step-by-step explanation:
The coordinates of the vertices of triangle 1 are A(6,6), B(12.9), C(9,6).
The coordinates of the vertices of triangle 2 are A (2,2), B’ (4.3). C° (3,2).
What transformation was performed on triangle 1 to create triangle 2?
Translation
Reflection across the x-axis
Reflection across the y-axis
Dilation
Answers
Answer:
Step-by-step explanation:
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator 12kg:16kg
Answers
Answer:
3/4
Step-by-step explanation:
12kg/16kg= 6/8= 3/4
Hope this helps!
Pls mark brainliest if correct:)
Can someone please solve this
Answers
Answer:
20
Step-by-step explanation:
- Combine multiplied terms into a single fraction
- Eliminate redundant parentheses
- Multiply all terms by the same value to eliminate fraction denominators
A teacher receives a monthly salary of $2800.00 What is her annual salary?
Answers
Answer:
$33,600
Step-by-step explanation:
2,800 x 12
A bike shop sells bikes for $155 each and scooters for $65 each. Write an equation to represent the cost of 2 scooters and x number of bikes.
Someone help me please.
Answers
Answer:
c
Step-by-step explanation:
I hope this helps
87 calories per 3/4 cup. How many calories per 1 cup
Answers
since 87 calories = ³/₄ cup
let x calories = 1 cup
⇒ 87 = ³/₄ x
x = (87)(⁴/₃)
x = 116 calories
∴ if 87 calories is in 3/4 cup, then 1 cup contains 116 calories.A photocopier can print 12 copies in 48 seconds. If the photocopier always copies at the same rate, how
long would it take to make 5 copies?
Answers
48 seconds / 12 copies = 4 seconds per copy
4 seconds per copy x 5 copies = 20 seconds
Answer: 20 seconds
What is -2d-2 < 3d+8
Answers
Answer:
d > -2
Step-by-step explanation:
-2d-2 < 3d+8
3d+8 > -2d-2
3d + 2d > -2 -8
5d > -10
d > -2
Feel free to mark this as brainliest! :D
What is what is the equation 3X +10 equals 43 what does X equal
Answers
If one angle is 25 and another is 105 what is x
Answers
Answer:
choices 1, 2, and 5 are correct for this problem.
Step-by-step explanation:
please what's -4/5 - -3/5
Answers
Step-by-step explanation:
-4/5 - -3/5
-4/5 + 3/5
(-4+3)/5
=-1/5
the answer for -4/5 - -3/5 is −1/5
A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
What is the elevation in feet of the road 5 miles from the starting point?
(a.) 750
(b.) 1000
(c.) 1250
(d.) 1500
Answers
The expression 4(3x + 7x2 – 7x + 7) – (7x2 + 7x – 7) equals
23 +
x ² +
+
Answers
Answer:
wonk
Step-by-step explanation:
3x+9=15
Anybody know the answer to thisss???
Answers
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Move all terms that don't contain [tex]x[/tex] to the right side and solve.
Answer:
refer to the attachment
Step-by-step explanation:
hence x is 2
Does anyone know what type of car this is?
Answers
Answer:
I think it is a Toyota I don't remember the model name.
Step-by-step explanation:
24 minus what divided by 2 gives you 9
HURRY
Answers
Answer: 6
Step-by-step explanation:
(24 - x)/2 = 9
multiply both sides by 2
24 - x = 18
subtract both sides by 24
-x = -6
multiply both sides by negative 1
x = 6
someone pls help me with this
Answers
Mometrix Media - flashcardsecrets.com/workkeys
WorkKeys Math
© Mon
Workk
Abby read 25% of a book on Monday and an
additional 50% on Tuesday. On Wednesday, she read
25% of a second book. What fraction of the first book
has she read?
A. 1
B. 1/2
C. 1/4
D. 2/3
E. 3/4
Jun
na
po
sh
А
E
What’s the
Answers
For BRAINLY please help fast I have a D in the class haha
Answers
Answer:
yes
Step-by-step explanation:
it is possible to be an isoscelize triangle
pls mark brainliest
Answer:
I think yes
Step-by-step explanation:
because the two sides that are bigger can be the ones with the lenght of 8
and the one in the bottom can be the one with the lenght 1
hope this helps <33
have a nice day :)
Algebra 2 Piece-wise functions!!
Answers
It's A.
1. The closed circle connects to the x≥1 function, so that rules out B and C.
2. The x≥1 piece has a positive slope on the graph, so that rules out D.
Which graph represents the equation y=3/4x−3 ?
Answers
Answer:
the first one
Step-by-step explanation:
please give me brainless
The length of a rectangle is 5 in longer than its width.
If the perimeter of the rectangle is 74 in, find its length and width.
Answers
Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
Please help me solve this please
Answers
Explanation:
5x + 3x = 2(4x - 5) - 2
8x = 8x - 10 - 2
0 = -12 (False Statement)
112°
4)
53°
2f+ 1°
f
=
Can someone link a video or tell me how to do this?
Answers
2f+1 + 53 =112
Minus 54 from both sides
2f = 58
Divide 2 from both sides
F=29
Just remember the exterior angle is the sum of the 2 interior angles.
Answer:
f = 29
Step-by-step explanation:
First look at the angle inside the triangle that has no marker. You can determine this angle using the angle on the opposite side (112).
A straight line will equal 180. So this angle would equal 180 - 112 or 68.
Now you know two of the triangles angles.... 53 and 68.
A triangle's inside angles always add up to 180 degrees.
53 + 68 = 121
The angle that is 2f + 1 must equal 180 - 121 which is 59 degrees.
2f + 1 = 59
2f = 58
f = 29
The three angles inside the triangle are 53, 68 and 59
HEEEEEEEEELP PLZZZZZZZZZZ
Answers
Answer:
Step-by-step explanation:
(1). ( - 3, - 1 )
(2). ( - 1, 3 )
(3). ( 2, 0 )
(4). ( 1, 0 )