Question

What is the solution to the system of equations y = -1/2 x + 1 and y = 2x + 6?

Answer 1

ok you can use subsitution for this one

since y=2x+6

subsitute 2x+6 for y

3x-(2x+6)=6

3x-2x-6=6

add like terms

x-6=6

add 6 to both sides

x=12

subsitute

y=2x+6

y=2(12)+6

y=24+6

y=30

x=12

y=30

(x,y)

(12,30)

Explanation:

Answer 2

Since by the 2nd equation, we know that y is the same as 6-x, we can substitute that for y in the first equation:

y = 2x + 3 -> 6 - x = 2x + 3 -> 6 = 3x + 3 -> 3 = 3x -< x = 1 and by either of the two equations, that derives y = 5

Explanation: