Answer
x = $\frac{12}{11}$
y =- $\frac{4}{11}$
Work Step by Step
2x - 5y = 4 first equation
3x - 2y = 4 second equation
multiply by -3 the first equation and by 2 the second equation
-6x + 15y = -12
6x - 4y = 8
___________
11y = -4 add the equations to eliminate x
y = -$\frac{4}{11}$ divide both sides by 11
let y to rhe first equation
2x - 5y = 4
2x - 5($\frac{-4}{11)}$ = 4
2x = 4 - $\frac{20}{11}$
2x = $\frac{44}{11}$ - $\frac{20}{11}$
2x = $\frac{24}{11}$
x = $\frac{12}{11}$ divide bpth sides by 2