Question

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

Answer 1

Answer:

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

Step-by-step 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