Question

Solving systems of equations using substitution. x =5y -13 x = -3y +19

Answer 1

$\begin{gathered} x=5y-13 \\ x=-3y+19 \end{gathered}$

start by replacing x from the first equation into the second equation

$5y-13=-3y+19$

solve the equation for y

$\begin{gathered} 5y+3y=19+13 \\ 8y=32 \\ y=\frac{32}{8} \\ y=4 \end{gathered}$

replace y into the first equation to find x

$\begin{gathered} x=5\cdot(4)-13 \\ x=20-13 \\ x=7 \end{gathered}$

the solution for the system of equations is (7,4).