Question

PLEASE HELP!

What would you need to multiply by in order to solve this system of equations using the linear combination (elimination) method?

−2x+3y=8
5x+4y=10

Multiply the 1st equation by 3 and leave the 2nd equation alone. This will eliminate the x's when you add the two new equations together.


Multiply the 1st equation by 5 and multiply the 2nd equation by 2. This will eliminate the x's when you add the two new equations together.


Multiply the 1st equation by 4 and multiply the 2nd equation by 2. This will eliminate the y's when you add the two new equations together.


Leave the 1st equation alone and multiply the 2nd equation by 2. This will eliminate the y's when you add the two new equations together.

Answer 1

Multiply the 1st equation by 5 and multiply the 2nd equation by 2. This will eliminate the x's when you add the two new equations together.

A) −2x+3y=8
B) 5x+4y=10
So we multiply A) by 5 and B) by 2

A) −10x+15y=40
B) 10x+8y=20

Adding the equations:
23y = 60
y = 2.6086956522