-4y-11x=36 20= -10x-10y Solve using Elimination method
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the equation:
-4y - 11x = 36
Can be written as,
y = -11 / 4x - 9
20 = -10x - 10y
Can be written as
y = -x - 2
Solve using elimination.
Solution:
In order to solve using elimination, we equate the values of y, into a single equation.
-x - 2 = -11 / 4x - 9
Transpose -9 and - x to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sing changes.
-2 + 9 = -11 / 4x + x
x can be written as 4/4x
7 = -11 / 4x + 4/4x
7 = -7/4x
Multiply both sides by -4/7 to cancel out -7/4 leaving behind the value of x.
(-4/7)(7) = (-4/7)(-7/4x)
x = -4
Final answer:
x = -4