x=3
y=-2
Step-by-step explanationThe substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
given the system of equations
Step 1
as we know the value of y ( equation 1), we just need to replace this value in equation (2) and solve for x
hence
![\begin{gathered} 4x-3y=18\operatorname{\rightarrow}equat\imaginaryI on(2) \\ replace\text{ the y value from equation \lparen1\rparen and solve for x} \\ 4x-3(-2)=18 \\ 4x+6=18 \\ subtract\text{ 6 in both sides} \\ 4x+6-6=18-6 \\ 4x=12 \\ divide\text{ both sides by 4} \\ (4x)/(4)=(12)/(4) \\ x=3 \end{gathered}]()
therefore, the solution is
x=3
y=-2
I hope this helps you