solve each system by substitution
1/2x+1/3y=6
x-y==2

Answers

Answer 1

Step-by-step explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one.  Let's solve for X.

x - y = 2

    add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5


Related Questions

write the log equation as an exponential equation. you do not need to solve for x.

Answers

Answer:

2x^5log=1/6

Step-by-step explanation:

using the natural log (e), we were able to give the power of 5 to 2x and then take it out from the parantheses

if ∠1 and ∠2 are complementary angles, ∠1 and ∠3 are vertical angles, and m∠2 = 36°, find m∠3.

Answers

Answer:

28>

Step-by-step explanation:

12 volleyball uniforms cost$384. The shirts were $13 each. how much did each pair of pants cost?

Answers

Answer:

it would cost 35 each I think

Cal has $400 in his saving account and deposits $25 per month. Marla has $100 in her savings account and deposits $50 per month. After how many months will they have the same amount in their savings account?

Answers

Answer:

11 months

Step-by-step explanation:

Jackson usually makes $250 per week working at a grocery store. Last week, he made 60% more than usual. This week, Jackson hopes to make 7/8 of what he made last week. How much money does Jackson hope to make this week

Answers

Answer:

350$

Step-by-step explanation:

he usually makes $250, 60% more is $400, and 7/8 of $400 is $350

Meg is a veterinarian. She found that 33% of the 21 dogs she saw this week were boxers.Steve is also a veterinarian. He found that 10,or 50% he saw this week were boxers.Does each person need to find the​ part, the​ whole, or the​ percent? Meg needs to find the?

Answers

Answer:

a. Meg needs to find the part

b. Steve needs to find the percent.

Step-by-step explanation:

The question is incomplete.

This is the complete question:

Meg is a veterinarian. In a given week, 50% of the 16 dogs she saw were Boxers. Steve is also a veterinarian. In the same week, 7 of the 35 dogs he saw this week were Boxers. Each wants to record the part the whole, and the percent.

a. Does Meg need to find the part, the whole, or the percent.

b. Does Steve need to find the part, the whole, or the percent.

Solution to the problem

a. Does Meg need to find the part, the whole, or the percent.

Meg already knows the whole and the percent.

The whole is the entire number of dogs seen: 16 dogs.

The percent is 50%.

Hence, she needs to find the part: this is how many (what part) of the 16 dogs she saw were boxers.

And she can do with a simple operation:

Part = whole × percent = 16 × 50% = 8. This is 8 dogs of 16 were boxers.

b. Does Steve need to find the part, the whole, or the percent.

He already knows the part (7 of the 35 dogs were boxers) and the whole (35 dogs).

Then he needs to find the percent, which he can do using the next operation:

Percent = (part / whole) × 100 = (7/35)×100 = 20%

f(x) = 3x^2+ 4x^2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

The answer is D. 3x^3+4x^2-11x+3

A hockey team plays 42 matches. It wins 21, draws 14 and loses the rest. Express each of these results as a percentage of the total number of games played.

Answers

Result :

Won = 50%Won = 50%Draw = 33 1/3%Won = 50%Draw = 33 1/3%Lost 16 2/3%

Explanation :

Express the number of each result as a fraction of the total number of games played and multiply with 100.

The percentage of the games won is :

21/42 × 100 = 50%

The percentage of the draw games is :

14/42 × 100 = 100/3 = 33 1/3%

The percentage of the games lost is :

42-21-14/42 × 100 = 7/42 × 100 = 50/3 = 16 2/3%

6y - 5 = 7y - y what does y equal
show how you did it pls

Answers

Answer: y is a false statement

Step-by-step explanation: put all the y terms on one side and all the constants on the other. i'm going to move all the y terms to the right and the constants to the left. on the left we have a -5 leftover and on the right it would be 7y-y-6y. if you add those terms together, you're left with -5=0 which is not possible. y is a false statement

10x+5 is greater than or equal to 2x-3

Answers

Answer:

x ≥ - 1

Step-by-step explanation:

10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )

8x + 5 ≥ - 3 ( subtract 5 from both sides )

8x ≥ - 8 ( divide both sides by 8 )

x ≥ - 1

I will mark brainliest when I’m able to !!

Answers

Answer:

It should be b

Step-by-step explanation:

I took this test

Answer: The answer would be A.

Step-by-step explanation:

The answer is a because when you do square root 60 on a caculator the answer is 4. So the answer would be A.

What is the y-intercept of the line shown below? Enter your answer as a coordinate pair.

Answers

Answer:

The x intercept is (-2,0)

the y intercept is (0,4)

factor [tex]x^{2} + 2x[/tex]

Answers

Answer:

the answer is x(x+2)

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

a = 26.241

b = 47.448

Step-by-step explanation:

Could a triangle have angle measures of 94°, 106°, and 11° EXPLAIN HOW YOU KNOW.​

Answers

Answer:

Nope

Step-by-step explanation:

All angles have to measure up to where adding up two of any angles will result in a number greater than or equal to the angle that was not added.

But here if we add up 94° and 11°, we end up with 105°.

Since 105° is lower than the angle not added, which is 106°, this triangle cannot exist.

Help. How to solve

9d + n = 5r

Answers

Answer:

Answer:

n = 4

Step-by-step explanation:

separate the variables

subtract 9 from 5 and you get n=4

Step-by-step explanation:

Slope intercept form

Answers

Answer: -2/6

Step-by-step explanation:

1. A car travels 40 miles west then goes 30 miles north. How far is the car from its starting point?

Answers

10 miles in since they turned around, but if your adding then its 70 miles

Answer:70 or 50

Step-by-step explanation:

40+30=70 unless you are dividing the 40 because it is not straight ahead. then it would be 50 you decide.

help me pls brainliest shall be reward :( ​

Answers

The correct answer is D

Answer:

B

Step-by-step explanation:

A: Also could be written as 0-5: its a division.

B: Also could be written as -1(5+5). The final answer is -10 and its an addition of 5 and 5.

C: Its a multiplication

D: Similar to B, it could be written as 5-5=0. Its a division of 5 and 5.

Hope this helps! If you still have a question feel free to ask it in the comment section below!

Cheers!

By solving the equation a = 2 - 9a, the value of a will be
A.2/5
B.3/5
C.1/5
D.1/2

Answers

Answer:

1 / 5

Step-by-step explanation:

a = 2 - 9a

a + 9a = 2

10a = 2

a = 2 / 10

a = 1 / 5

Marilyn's cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does Marilyn send in a month if her bill was $52

Answers

Answer:

34

Step-by-step explanation:

52-35 = 17

$17 divided by $0.50 = 34 texst messages

If I could get help

Answers

Answer:

4m, 6m, 7m, 5m

Step-by-step explanation:

To find perimeter you just add the side lengths togeather.

Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help) thank you!

Answers

Answer:

x > -7

make sure to put the sign with the line under it because I can't type it

Which number equals 3/4 to the power of negative 2

Answers

Answer:

16/9

Step-by-step explanation:

16/9=1.77777777778

(3/4)^-2=1.77777777778

Please help for brainliest!​

Answers

D. Is the correct answer. Pls mark me brainliest

Answer:

The answer is 'D'

Step-by-step explanation:

Yvonne found three patterns for new dresses that she wants to sew. The patterns call for 4.7 yards, 325% of a yard and 2 1/2 yards of fabric. What is the total amount of fabric that Yvonne will need to purchase in decimal form.
PLS DUDE ANSWER AND EXPLAIN

Answers

Answer:

revenge

Step-by-step explanation:

ez

11 divided by 6/6


PLEASE HURRY THIS TEST

Answers

Answer: 1.666666667 or 1.6

Step-by-step explanation:

WILL GIVE BRAINLIEST TO FIRST PERSON WHO ACTUALLY TRIES!!!

What is the length of the unknown leg of the right triangle rounded to the nearest tenth of a foot?​

Answers

Answer:

Around 8.8

Step-by-step explanation:

This problem requires the Pythagorean Theorem. We are given the hypotenuse and a leg, so we can plug in what we know.

[tex]{x^2+2^2}=9^2 \\{4+x^2}=81 \\x^2=77\\\sqrt{x^2}=77\\x=\sqrt{77}\\x=8.8, approximately[/tex]

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?

The equation has one solution: x = 0.
The equation has one solution: x = 1.
The equation has no solution.
The equation has infinite solutions.

Answers

Answer:

The equation has infinite solutions

Step-by-step explanation:

Answer: Infinite solutions

Step-by-step explanation: Just took the quiz

Please help!! No links

Answers

Answer:

Okay. We'll do some sort of telepathy or anything to find out what you're trying to say. But not now because I don't have any reason to help you with this empty post, ask something if you want else expect these answers.

What’s the problem I don’t see any picture or anything?
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