Question

What is the x coordinate of the solution to the system of equations?

{ x- 5y =23
{ -2x - 6y =2

Answer 1

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

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=(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