Answer
x =$\frac{7}{16}$
y = - $\frac{7}{8}$
Work Step by Step
6x - 5y = 7 first equation
4x - 6y = 7 second equation
multiply by -2 the first equation and by 3 the second equation
-12x + 10y = -14
12x - 18 y = 21
______________
-8y = 7 add the equations to eleminate x
y = - $\frac{7}{8}$ divide both sides by -8
let y in the firest equation
6x - 5y = 7
6x - 5 (- $\frac{7}{8}$) = 7
6x + $\frac{35}{8}$ = 7
6x = $\frac{56}{8}$ - $\frac{35}{8}$
6x = $\frac{21}{8}$
x = $\frac{21}{48}$
x = $\frac{7}{16}$