2x+y=5 -x+2y=4 How do you solve this
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
2x + y =5
-x + 2y =4
Solution:
In order to solve the solution, we can equate the given equations into one single solution, then solve for x and y separately.
2x + y - 5 = -x + 2y -4
Transpose -x + 2y -4 on the other side of the equation, note that when transposing a number, the sign changes.
= 2x + y -5 + x - 2y + 4
= 3x -y -1
Solve for x.
3x = y + 1
x = (y + 1)/3
Solve for y.
y = 3x - 1
Final answer:
x = (y + 1)/3
y = 3x - 1