solve the system of equations by elimination

-7x+y=-19

-2x+3y=-19

asked by guest
on Jan 29, 2025 at 12:06 pm



You asked:

Solve the system of equations (7x)+y=19-\left( 7 x \right) + y = -19, (2x)+3y=19-\left( 2 x \right) + 3 y = -19 by elimination.

MathBot Answer:

x=2y=5\begin{aligned}x &= 2\\y &= -5\end{aligned}

7x+y=192x+3y=19\begin{aligned}- 7 x + y &= -19\\- 2 x + 3 y &= -19\end{aligned}

Eliminate xx from equation 2 by multiply both sides of equation 1 by 27- \frac{2}{7}, and adding the results to both sides of equation 2.

7x+y=1919y7=957\begin{aligned}- 7 x + y &= -19\\\frac{19 y}{7} &= - \frac{95}{7}\end{aligned}

Solve equation 2 for yy, and substitute the solution into the remaining equations.

7x=14y=5\begin{aligned}- 7 x &= -14\\y &= -5\end{aligned}

Solve equation 1 for the remaining unknown xx.

x=2y=5\begin{aligned}x &= 2\\y &= -5\end{aligned}