Question

Find the solution to the system of the equations shown below: y = -4x + 11
y=1/2x+2​

Answer 1

Hello!

`\large\boxed{x = 2}`

Set the two equations equal to each other to solve:

y = -4x + 11

y = 1/2x + 2

-4x + 11 = 1/2x + 2

Add 4x to both sides:

-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***

11 = 9/2x + 2

Subtract 2 from both sides:

11 - 2 = 9/2x + 2 - 2

9 = 9/2x

Divide both sides by 9/2:

9 * (2/9) = 9/2x * (2/9)

x = 2.