How do you solve 6x-y=-5 and 4x-2y=6?

1 Answer
Oct 8, 2015

x=1/2

y=-2

Explanation:

We have 2 equations and 2 unknowns so they are simultaneous.

6x-y=5 " "color(red)((1))

4x-2y=6 " "color(red)((2))

From color(red)((1)):

y=(6x-5)

We can substitute this expression for y into color(red)((2))rArr

4x-2(6x-5)=6

4x-12x+10=6

-8x=6-10

-8x=-4

x=(-4)/-8=1/2

We can now substitute this value of x into color(red)((1))rArr

6xx1/2-y=5

3-y=5

y=3-5=-2