Question

Solve using substitution y=-4x+1 y=6x-9

Answer 1

x = 1

y = -3

(1,-3)

Explanation:

Set the 2 equations equal to each other and solve for x

-4x + 1 = 6x - 9 Add 4x from both sides

-4x + 4x + 1 = 6x + 4x -9

1 = 10x - 9 Add 9 to both sides

1 + 9 = 10x - 9 + 9

10 = 10x Divide both sides by 10

`(10)/(10)` =
`(10x)/(10)`

1 = x

substitute 1 for x in either of the two original equations to solve for y

y = -4x + 1

y = -4(1) + 1

y = -4 + 1

y = -3

Check

y = -4x + 1

-3 = -4(1) + 1

-3 = -4 + 1

-3 = -3 Checks

y = 6x - 9

-3 = 6(1) - 9

-3 = 6 - 9

-3 = -3 Checks