Question

What is the value of y in the solution to this system of equations? -3x - 3y = 3 & y = -5x - 17.

A) y = 3
B) y = -4
C) y = 17
D) y = -3

Answer 1

To find the value of y in the given system of equations, substitute the value of y from the second equation into the first equation. After simplifying and solving for x, substitute the value of x into the second equation to find the value of y. The value of y is 3.

Step-by-step explanation:

To find the value of y in the given system of equations, we can substitute the value of y from the second equation into the first equation.

Substituting -5x - 17 for y in the first equation, we get:

-3x - 3(-5x - 17) = 3

Simplifying the equation:

-3x + 15x + 51 = 3

Combining like terms:

12x + 51 = 3

Subtracting 51 from both sides of the equation:

12x = -48

Dividing both sides of the equation by 12:

x = -4

Now, we can substitute the value of x into the second equation to find the value of y:

y = -5(-4) - 17

Calculating:

y = 20 - 17

y = 3

Therefore, the value of y in the solution to the system of equations is y = 3.