Question

y= 5x - 7-3x - 2y = -12Solve each system of equations using the substitution method Give the solution in (x,y) form

Answer 1

ANSWER:

$(2,3)$

STEP-BY-STEP EXPLANATION:

We have the following system of equations:

$\begin{gathered} y=5x-7 \\ -3x-2y=-12 \end{gathered}$

Solving by Substitution

$\begin{gathered} -3x-2\cdot(5x-7)=-12 \\ -3x-10x+14=-12 \\ -13x=-12-14 \\ x=\frac{-26}{-13} \\ x=2 \end{gathered}$

Now, for y, replacing:

$y=5\cdot2-7=10-7=3$

The solution is:

$(2,3)$