Answer:
4y = 26
Step-by-step explanation:
Given the system of equations:
2y-x=-7 (1)
x+2y= 33 (2)
To find the ordered pair (x, y) that satisfies the equation, we have to solve equations 1 and equations 2 simultaneously, finding the value of x and y as our solution.
Solving equation 1 and equation 2 simultaneously: To find y add both equations together to get:
4y = 26
Divide both sides by 4
4y/4 = 26/4
y = 6.5
To find x put y = 6.5 in equation 1:
2(6.5) - x = -7
x = 13 + 7
x = 20.
Therefore the ordered pair (20, 6.5) satisfies the equation.
Also, 4y = 4(6.5) = 26