Using the substitution method, the solution to the system of linear equations, is: (6, 3).
<h3>System of Linear Equations</h3>
Using substitution method, we can make one of the variables the subject of the formula for one of the equations, then find the other variable by substituting.
Given:
- x + 4y = 18 --> eqn. 1
- y = -x+9 --> eqn. 2.
Substitute y = -x + 9 into equation 1.
x + 4(-x + 9) = 18
x - 4x + 36 = 18
-3x + 36 = 18
-3x = 18 - 36
-3x = -18
x = 6
Substitute x = 6 into equation 2 to find y
y = -6 + 9
y = 3
Therefore, using the substitution method, the solution to the system of linear equations, is: (6, 3).
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