Step 1:
Write the two equations
x - y = 2 Equation 1
x + 4y = -3 Equation 2
Step 2:
From equation 1 , make x subject of the formula and substitute in equation 2.
[tex]\begin{gathered} \text{From 1} \\ \text{x - y = 2} \\ \text{x = 2 + y} \end{gathered}[/tex]Step 3:
Substitute x = 2 + y in equation 2
[tex]\begin{gathered} In\text{ equation 2} \\ x\text{ + 4y = -3} \\ 2\text{ + y + 4y = -3} \\ 5y\text{ = -3 - 2} \\ \text{5y = -5} \\ y\text{ = }\frac{-5}{5} \\ \text{y = -1} \end{gathered}[/tex]Step 4
Substitute y = -1 in x = 2 + y to find x
x = 2 - 1
x = 1
Final answer
x = 1 , y = -1