Answer:
{x,y} = {5,8}
Step-by-step explanation:
[1] 7x-3y+5=16
[2] 4y=3x+17
[1] 7x - 3y = 11
[2] -3x + 4y = 17
// Solve equation [2] for the variable y
[2] 4y = 3x + 17
[2] y = 3x/4 + 17/4
// Plug this in for variable y in equation [1]
[1] 7x - 3•(3x/4+17/4) = 11
[1] 19x/4 = 95/4
[1] 19x = 95
// Solve equation [1] for the variable x
[1] 19x = 95
[1] x = 5
// By now we know this much :
x = 5
y = 3x/4+17/4
// Use the x value to solve for y
y = (3/4)(5)+17/4 = 8
