Question

Solve this system of equations using the substitution method. y = 5x + 4 x + 12 = y ([?], [])

Answer 1

(2, 14)

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} y=5x+4 \\ x+12=y \end{gathered}`

Substitute y=x+12 into the first equation:

`x+12=5x+4`

Collect like terms:

`\begin{gathered} 12-4=5x-x \\ 8=4x \end{gathered}`

Finally, divide both sides by 4:

`\begin{gathered} (8)/(4)=(4x)/(4) \\ x=2 \end{gathered}`

Recall that y=x+12

`\begin{gathered} y=x+12 \\ y=2+12 \\ y=14 \end{gathered}`

Therefore, the solution to the system of equations is (2,14).