Question

What is the value of x in the solution for the system shown below?

X + 2y = -10
-3x - 4y = 9

A. x = -5
B. x = 5
C. x = -7
D. x = 7

Answer 1

To find the value of x in the solution for the system of equations, we can use the method of substitution or elimination. Let's use the method of elimination. The value of x in the solution is 11.

Step-by-step explanation:

To find the value of x in the solution for the system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Step 1: Multiply the first equation by 3 to make the coefficients of x in both equations the same. The equations become:

3x + 6y = -30

-3x - 4y = 9

Step 2: Add the two equations together to eliminate x. We get:

2y = -21

Step 3: Divide both sides of the equation by 2 to solve for y. We get:

y = -10.5

Step 4: Substitute the value of y back into one of the original equations to solve for x. Let's substitute it into the first equation:

x + 2(-10.5) = -10

x - 21 = -10

x = 11

So, the value of x in the solution is 11.