What is the y- coordinate for the solution to the system of equations?
{6x−3y=−7 {2x 3y=−9 Enter your answer as the correct value, like this: 42 If your answer is a fraction, enter it in simplest form, formatted like this: 3/14

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Answer:

To find the y-coordinate for the solution to the system of equations {6x - 3y = -7, 2x + 3y = -9, we can use the method of substitution or elimination.

Let's use the method of elimination to solve the system of equations:

Step 1: Multiply the second equation by 2 to eliminate the x variable:

2(2x + 3y) = 2(-9)

4x + 6y = -18

Step 2: Add the first equation and the modified second equation to eliminate the x variable:

(6x - 3y) + (4x + 6y) = -7 + (-18)

10x + 3y = -25

Step 3: Solve the resulting equation for y:

10x + 3y = -25

3y = -10x - 25

y = (-10x - 25) / 3

The y-coordinate for the solution to the system of equations is (-10x - 25) / 3.

Step-by-step explanation: