Question

What is the value of the x-coordinate of 2x+3y=144;y-x=24

Answer 1

The x-coordinate of the solution of the system is x=14.4

Explanation:

The question is

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

we have

`2x+3y=144` ----> equation A

`y-x=24` ---> isolate the variable y

`y=x+24` ----> equation B

Solve the system by substitution

substitute equation B in equation A

`2x+3(x+24)=144`

solve for x

Apply distributive property

`2x+3x+72=144`

Combine like terms left side

`5x+72=144`

subtract 72 both sides

`5x=144-72`

`5x=72`

Divide by 5 both sides

`x=14.4`

therefore

The x-coordinate of the solution of the system is x=14.4