Question 761625
2x + 5y = -9
3x - 4y = -2

Solution by elimination. Let us try to eliminate x, by making the coefficient of x the same in both the eqns.

Multiply first equation by 3

{{{6*x + 15*y = -27}}} ---> (A)

Multiply second equation by 2

{{{6*x - 8*y = -4}}} ---> (B)

Subtract (B) from (A)

{{{23*y = -23}}}

So {{{y = -1}}}

Substituting for y in 1st equation

{{{2*x + 5*-1 = -9}}}

{{{2*x = -4}}} 

{{{x = -2}}}

Ordered pair is (-2,-1)