Question

Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .

Answer 1

Solution:

The value of x is -3.

The solution to the system of equation is x=-3, y=7

Explanation:

We have been given the system of equation

$y=-3x-2 ......(1)\\y=7...............(2)$

We solve this system of equation by substituting method.

On plugging the value of y from equation (2) in equation (1), we get

$7=-3x-2$

Add 2 to both sides of the equation

$7+2=-3x\\ 9=3x$

Now, divide both sides by -3, we get

$\frac{9}{-3}=x$

$-3=x$

Therefore, the value of x is -3.

And the solution to the system of equation is x=-3, y=7

Answer 2

Hello!

You can substitute y into the other equation

7 = -3x - 2

Add 2 to both sides

9 = -3x

Divide both sides by -3

-3 = x

The answer is -3

Hope this helps!