Solve this system using elimination. 3x+4y=5 2x+3y=4 Show work please
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the equations:
3x + 4y = 5
2x + 3y = 4
Solve the system using elimination.
Solution:
In order to solve the system using elimination, we must first transpose all the contestants to the left side of the equation, hence we must take note that in transposing a number, the sign changes.
= 3x + 4y - 5
= 2x + 3y - 4
Equate the two equations in one single solution.
3x + 4y - 5 = 2x + 3y - 4
Transpose 3x + 4y - 5 to the other side of the equation.
= 2x + 3y - 4 - 3x - 4y + 5
= -x - y + 1
Final answer:
= -x - y + 1