Solve with either Substitution or Eleminiton 2x – 9y = 32 4x + y = -12
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the systems of linear equation:
2x - 9y = 32
4x + y = -12
Solve the given equation.
Solution:
In solving the given equation, we will use the substitution method. In doing so, we need to find the value of y of the second equation, and then substitute it to the value of y of the first equation. The first step for finding the value of y for the second equation is by simply transposing 4x on the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
4x + y = -12
y = -4x - 12
Substitute the value of y to the second equation.
2x - 9 (-4x - 12 ) = 32
2x +36x + 108 = 32
38x = 32 - 108
38x = -76
Divide both sides by 38, in order to cancel out 38x leaving behind x.
38x/38 = -76/38
x = - 2
Final answer:
x = -2