Question

Solve the system of equations.

−
2
�
+
9
�
=
11
−
5
�
+
2
�
=
−
34
​

−2x+9y=11
−5x+2y=−34
​

Answer 1

To start we can multiply both equations by a number to get a common coefficient for x:

5(-2x+9y=11)
2(-5x+2y=-34)

That would give us:

-10x+45y=55
-10x+4y=-68

You would solve using the elimination method by subtracting the two equations and get

41y= 123

y= 3

Then you would substitute y into one of the equations

-2x+9(3)=11

-2x+27=11

-2x= -16

x= 8

So the answer is x= 8, y=3