Question

Solve the system by substitution. - y = x 3x + 5y = 20

Answer 1

Answer:

x=-10 and y=10.

Explanation:

Given the system of equations:

$\begin{gathered} -y=x \\ 3x+5y=20 \end{gathered}$

Substitute x with -y in the second equation.

$\begin{gathered} 3x+5y=20 \\ 3(-y)+5y=20 \end{gathered}$

Next, solve for y.

$\begin{gathered} -3y+5y=20 \\ 2y=20 \\ y=\frac{20}{2} \\ y=10 \end{gathered}$

Use y to solve for x.

$\begin{gathered} x=-y \\ x=-10 \end{gathered}$

Thus, the solution to the system of equations is x=-10 and y=10.