find the solution to the system of equations by the substitution method.
-5x-7y=-57
3x-2y=-3

Question

find the solution to the system of equations by the substitution method.
-5x-7y=-57
3x-2y=-3

precal · Answer

3x-2y=-3
solve for x
x=-1+2/3y
sub into the first equation
solve for y

anonymous · Answer

i don't get it :/

hero · Answer

-5x-7y=-57
3x-2y=-3

Isolate y for each equation: 
y = (5x - 57)/-7
y = (3 + 3x)/2

Set y =y, solve for x: 
2(5x - 57) = -7(3 + 3x)
10x - 114 = -21 -21x
10x + 21x = 114 - 21
31x = 93
x = 93/31
x = 3
y = 6

hero · Answer

@brittwhit18

precal · Answer

Hero's approach will also, work.  The whole idea of this method is to substitute x= something into the other equation
or substitue y=something into the other equation
Many ways to accomplish the goal - same solution in the end