Question

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

Answer 1

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

System of Linear Equations

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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