Answer:
{x,y}={21,41}
Explanation:
Step by Step Solution:
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System of Linear Equations entered :
[1] 4x - 2y = 2
[2] 3x - 2y = -19
Graphic Representation of the Equations :
-2y + 4x = 2 -2y + 3x = -19
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 2y - 19
[2] x = 2y/3 - 19/3
// Plug this in for variable x in equation [1]
[1] 4•(2y/3-19/3) - 2y = 2
[1] 2y/3 = 82/3
[1] 2y = 82
// Solve equation [1] for the variable y
[1] 2y = 82
[1] y = 41
// By now we know this much :
x = 2y/3-19/3
y = 41
// Use the y value to solve for x
x = (2/3)(41)-19/3 = 21
Solution :
{x,y} = {21,41}