Question

Find the solution to the system of equations. y=x+2 and 4x+2y=16I was wondering how you solve this? I know the answer but i keep getting 6,4 instead of the actual answer which is 2,4

Answer 1

Question: Find the solution to the system of equations. y=x+2 and 4x+2y=16

`\begin{gathered} y=x+2\ldots\ldots(1) \\ 4x+2y=16\ldots\text{.}(2) \end{gathered}`

Step 1: Substitute equation (1) in equation (2)

`\begin{gathered} 4x+2y=16 \\ 4x+2(x+2)=16 \\ 4x+2x+4=16 \\ 6x+4=16 \end{gathered}`

Subtract 4 from both sides of the equation

`\begin{gathered} 6x+4=16 \\ 6x+4-4=16-4 \\ 6x=12 \\ \text{divide both sides by 6} \\ (6x)/(6)=(12)/(6) \\ x=2 \end{gathered}`

Step 2: Substitute x=2 in equation (1)

`\begin{gathered} y=x+2 \\ y=2+2 \\ y=4 \end{gathered}`

Hence,

x = 2, y = 4