Solve the system of linear equations by substitution. x+4y=18 y=-x+9

Using the substitution method, the solution to the system of linear equations, is: (6, 3).

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:

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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