Question

The question is right here-2x+3y=-3x+y=4

Answer 1

Step 1

Given;

$\begin{gathered} -2x+3y=-3---(1) \\ x+y=4----(2) \end{gathered}$

Required; To solve the system of equations

Step 2

Find the value of x from equation 2

$\begin{gathered} x+y=4 \\ x=4-y \end{gathered}$

Step 3

Substitute for x in equation 1

$\begin{gathered} -2(4-y)+3y=-3 \\ -8+2y+3y=-3 \\ 5y=-3+8 \\ 5y=5 \\ \frac{5y}{5}=\frac{5}{5} \\ y=1 \end{gathered}$

Step 4

Find the value of x using equation 2

$\begin{gathered} x+y=4 \\ x+1=4 \\ x=4-1 \\ x=3 \end{gathered}$

Hence the solution to the system of equations in (x,y) = (3,1) where x=3 and y=1