Question

What is the x coordinate of the solution to the system of equations?
{ x- 5y =23
{ -2x - 6y =2

Answer 1

Answer:

The x coordinate of the solution to the system of equations is 8

Step-by-step explanation:

We need to find the x coordinate of the solution to the system of equations?

$x- 5y =23\\-2x - 6y =2$

Let

$x- 5y =23--eq(1)\\-2x - 6y =2--eq(2)$

Multiply equation 1 with 2 and add both equations

$2x- 10y =46\\-2x - 6y =2\\-------\\-16y=48\\y=\frac{48}{-16}\\y=-3$

So, we get the value of y = -3

Now, for finding x, put value of y in equation 1

$x- 5y =23Put\:y=-3\\x-5(-3)=23\\x+15=23\\x=23-15\\x=8$

So, we get x = 8

The solution set is (8,-3)

So, the x coordinate of the solution to the system of equations is 8