88.3k views
1 vote
What is the y-value of the solution to the system of equations?

3x + 5y = 1

7x + 4y = −13

−3
−1
2
5

User Emil L
by
5.6k points

2 Answers

4 votes

Answer:

y = 2

Explanation:

3x + 5y = 1

7x + 4y = −13

We will use the elimination method to eliminate the x variable. Then we will solve for y. We need the coefficients of the x-terms in the two equations to be additive inverses, so they will add to zero, eliminating x.

Multiply both sides of the first equation by -7, and multiply both sides of the second equation by 3.

-21x - 35y = -7

21x + 12y = -39

Now add the equations to eliminate x.

-23y = -46

Divide both sides by -23.

y = 2

User Matt Hudson
by
4.4k points
4 votes

The answer is y=2 !!!!!!!!!!!!!!

User Evu
by
5.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.