How can I solve this system of linear equations by substitution 2x-3y=-24 and x+6y=18
Mathematics · Middle School · Wed Jan 13 2021
Answered on
Given the system of linear equation:
2x -3y = -24
x + 6y = 18
Solve by substitution.
In order to solve by substitution, we must equate first the two equations into one solution,
2x - 3y + 25 = x + 6y - 18
Transpose x + 6y - 18 on the other side of the equation. Hence, we must take note that when transposing a number, the sign changes.
2x - 3y + 25 - x - 6y + 18 = 0
x - 9y + 43 = 0
We solve first for the value of y.
x + 43 = 9y
y = 1/9 x + 43/9
Solve for x.
x = 9y -43
Final answer:
y = 1/9 x + 43/9
x = 9y -43