2x-3y=8 -5x+2y=13 find the x coordinate

 2x  - 3y = 8
-5x + 2y = 13
Multiply the first equation by 2 and the second by 3.
 2(2x  - 3y = 8)
3(-5x + 2y = 13)

   4x  - 6y = 16
-15x + 6y = 39
Add the two equations.
-11x = 55
Divide each side by -11.
x = -5

x=−5 and y=−6     Steps:I will try to solve your system of equations.2x−3y=8;−5x+2y=13Step: Solve 2x−3y=8 for x:2x−3y+3y=8+3y(Add 3y to both sides)2x=3y+8 2x/2=3y+8/2(Divide both sides by 2) x=3/2y+4Step: Substitute (3/2y+4) for x in −5x+2y=13:−5x+2y=13−5(3/2y+4)+2y=13−11/2y−20=13(Simplify both sides of the equation)−11/2y−20+20=13+20(Add 20 to both sides)−11/2y=33−11/2y−11/2=33−11/2(Divide both sides by (-11)/2)y=−6Step: Substitute (−6) for y in x=3/2y+4:x=3/2y+4x=3/2(−6)+4x=−5