Solve this system by elimination: 3x + 2y = 18 5x – 2y = 14
Mathematics · Middle School · Thu Jan 21 2021
Answered on
Given the systems of equation.
3x + 2y = 18
5x - 2y = 14
Solve the system by elimination.
Solution:
In order to solve the system of equation by elimination, we simply equate the two equations in one single solution:
3x + 2y - 18 = 5x - 2y - 14
Transpose 5x - 2y -14 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
= 3x + 2y - 18 - 5x + 2y +14
= -2x + 4y - 4
Final answer:
= -2x + 4y - 4