Question

3) Solve the system of equations below by using ELIMINATION and record your solution. 2x + 3y = 15 X-3y = 3 X= y =

Answer 1

The equations are 2x + 3y = 15 and x - 3y = 3.

Add the equations to eliminate the y term and obtain the value of x.

$\begin{gathered} 2x+3y+x-3y=15+3 \\ 3x=18 \\ x=\frac{18}{3} \\ =6 \end{gathered}$

Substitute 6 for x in equation 2x + 3y = 15 to obtain the value of y.

$\begin{gathered} 2\cdot6+3y=15 \\ 3y=15-12 \\ y=\frac{3}{3} \\ =1 \end{gathered}$

Thus solution of equations is x = 6 and y = 1.