solve the following simultaneous linear equation:

Question

-5x+6y=44
9x+7y=-8

Answer 1

first one times 7
-35x + 42y = 308
second by 6
54x + 42y = - 48

subtract them ..
-89x = 356
x = -4

sub back in first
20 + 6y = 44
6y = 24
y = 4

so x= - 4 and y= 4