The value of x - coordinate is 14.4
Solution:
Given that we have to find the x -coordinate of the system
Given system of equations are:
2x + 3y = 144 -------- eqn 1
y - x = 24 --------- eqn 2
Solve the above system of equations to find the x - coordinate
From eqn 2,
y = 24 + x ------- eqn 3
Substitute eqn 3 in eqn 1
2x + 3(24 + x) = 144
2x + 72 + 3x = 144
Add the like terms
5x + 72 = 144
5x = 144 - 72
5x = 72
Divide 72 by 5
x = 14.4
Thus the x - coordinate of the system is 14.4
