Question

please help I have been trying to get this for a long timeSolve x = 8y + 17 → (1) x = 5y + 6 →(2)

Answer 1

Given the system of equations:

x = 8y + 17 → (1)

x = 5y + 6 →(2)

by substitution by x from the first equation in the second equation

$8y+17=5y+6$

Solve the equation for y

Combine the like terms

$\begin{gathered} 8y-5y=6-17 \\ 3y=-11 \\ \\ y=-\frac{11}{3} \end{gathered}$

Substitute with y in the first equation to find x

$\begin{gathered} x=8\cdot-\frac{11}{3}+17 \\ \\ x=-\frac{88}{3}+17=-12\frac{1}{3}=-\frac{37}{3} \end{gathered}$

So, the solution of the system as order pair :

$\begin{gathered} (x,y)=(-\frac{37}{3},-\frac{11}{3}) \\ \\ (x,y)=(-12\frac{1}{3},-3\frac{2}{3}) \end{gathered}$