Answer:
{x,y} = {5,-2}
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 2y = -3x + 11
[2] y = -3x/2 + 11/2
// Plug this in for variable y in equation [1]
[1] 2x - 3•(-3x/2+11/2) = 16
[1] 13x/2 = 65/2
[1] 13x = 65
// Solve equation [1] for the variable x
[1] 13x = 65
[1] x = 5
// By now we know this much :
x = 5
y = -3x/2+11/2
// Use the x value to solve for y
y = -(3/2)(5)+11/2 = -2
Solution :
{x,y} = {5,-2}
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