Question

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

Answer 1

Answer:

(2, 14)

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:

$\begin{gathered} \frac{8}{4}=\frac{4x}{4} \\ x=2 \end{gathered}$

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).