Question

solve the following system algebraically using the substitution method.type the solution as an ordered pair

Answer 1

solve

$\begin{gathered} \begin{bmatrix}6x+7y=20 \\ y=2x\end{bmatrix} \\ substituting\text{ y } \\ 6x+7(2x)=20 \\ 6x+14x=20 \\ 20x=20 \\ \frac{20x}{20}=\frac{20}{20} \\ x=1 \end{gathered}$

and for y

$y=2(1)=2$

answer: (1,2)