5x−7y=58 y=−x+2 x= y=
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
5x - y= 58 or 5x -y -8 = 0
y= -x + 2 or x + y -2 =0
x = ?
y = ?
Solution:
x and y can be determined by equating the two solutions into one single solution.
5x - y - 8 = x + y -2
transpose x + y - 2 into the other side of the equation, note that when transposing a number or variable, the sign changes.
5x - x - y - y - 8 + 2 = 0
Combine similar terms.
4x - 2y - 6
To solve for y, transpose 2y on the other side of the equation, and divide both sides by 2.
2y = 4x -6
y = 2x - 3
To solve for x, transpose -2y -6 on the other side of the equation, and divide both sides by 4.
4x = 2y + 6
x = ½y + 3/2
Final answer:
y = 2x -3
x = ½y + 3/2