what does x and y equal to 2x-3y=-7 2x+y=13
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
2x-3y=-7
Can be written as,
2x - 3y + 7
2x+ y = 31
Can be written as
2x + y - 31
Solve for x and y.
Solution:
In order to solve for x and y, we simply equate the values into one single solution.
2x - 3y + 7 = 2x + y - 31
Transpose 2x + y -31 on the other side of the equation, hence we must take note that in transposing numbers, the sign changes.
2x -2x -3y - y +7 + 31 = 0
-4y + 38 = 0
There is no value for x.
To solve for y, simply transpose -4y on the other side of the equation, and then divide both sides by 4.
4y = 38
4y/4 = 38/4
y = 38/4 or 9.5
Final answer:
y = 38/4 or 9.5
There is no value for x.