157k views
5 votes
What is the y-value of the solution to this system of equations? x = -y-5 4x + 7y = -44

User Radoslav
by
8.4k points

1 Answer

1 vote

Final answer:

The y-value of the solution to the given system of equations is -8. This value is found by substituting the expression for x from the first equation (-y - 5) into the second equation and solving for y.

Step-by-step explanation:

To find the y-value of the solution to the given system of equations, we can substitute the value of x from the first equation into the second equation.

First equation: x = -y - 5

Second equation: 4x + 7y = -44

Substituting x from the first equation into the second gives us:

4(-y - 5) + 7y = -44

Distribute the 4:

-4y - 20 + 7y = -44

Combine like terms:

3y - 20 = -44

Add 20 to both sides:

3y = -24

Divide by 3:

y = -8

The y-value of the solution to the system of equations is -8.

User Nicholas Palko
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories