Question

Find the solution for the following system of equations. y = -2x + 6 y = 3x - 4

Answer 1

when you get this kind of exercise, you find need to find y or x in one of the exactions and fill it in in the other, however in this exercise the two y's are already given so all you need to do is replace the y in one of the exactions with the other exactions like this:

(keep in mind, you need to keep writing both of the exactions over again, otherwise you'll lose an exaction. and we'll need it later on)

y=-2x+6

y=3x-4

y=-2x+6

-2x+6=3x-4

y=-2x+6

-2x-3x=-4-6

y=-2x+6

-5x=-10

y=-2x+6

x= 2

and now replace the x in the first exaction with the x that we found:

y=-2(2)+6

x=2

y=-4+6

x=2

y=2

x=2