Respuesta :

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