Question

What is the solution to this system of equations. Use any method you choose

y = x + 8
y = 4x-1

Answer 1

x + 8 = 4x - 1
3x = 9
x = 3

y = 3 + 8 = 11

Answer 2

x = 3, y = 11

Explanation:

Use substitution:

`x + 8 = 4x-1\\`

Subtract x from both sides

`8 = 3x - 1`

Add 1 to both sides

`9 = 3x`

Divide both sides by 3

`x = 3`

Now substitute x = 3 into the equation y = x + 8

`y = 3 + 8`

`y = 11`

That means the solution is x = 3, y = 11