how do you solve the linear system using elimination10x - 9y = 46-2x + 3y = 10
Mathematics · Middle School · Thu Jan 21 2021
Answered on
Given the systems of equation:
10x - 9y = 46
-2x + 3y =10
Solve by elimination.
Solution:
In order to solve the given systems of equation by elimination, we simply equate the two equations into 1 solution.
10x -9y = 46 can be written as
10x - 9y - 46
-2x + 3y = 10 can be written as
-2x + 3y - 10
10x - 9y - 46 = -2x + 3y - 10
Transpose -2x + 3y -10 on the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
= 10x - 9y - 46 + 2x - 3y + 10
= 12x - 12y + 36
We can either solve for x, and y if we are asked to use for substitution, hence since we are given the condition of elimination then we already have the final answer.
Final answer:
= 12x - 12y + 36