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
[tex]2x+3y=144[/tex] ----> equation A
[tex]y-x=24[/tex] ---> isolate the variable y
[tex]y=x+24[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]2x+3(x+24)=144[/tex]
solve for x
Apply distributive property
[tex]2x+3x+72=144[/tex]
Combine like terms left side
[tex]5x+72=144[/tex]
subtract 72 both sides
[tex]5x=144-72[/tex]
[tex]5x=72[/tex]
Divide by 5 both sides
[tex]x=14.4[/tex]
therefore
The x-coordinate of the solution of the system is x=14.4
