Solve the system of equations
- 3 + 5x = y
2x + 5y = 12
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OpenStudy (wanell):
x,y} = {7,6}
System of Linear Equations entered :
[1] 2x + y = 20
[2] 6x - 5y = 12
Graphic Representation of the Equations :
y + 2x = 20 -5y + 6x = 12
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OpenStudy (wanell):
/ Solve equation [1] for the variable y
[1] y = -2x + 20
// Plug this in for variable y in equation [2]
[2] 6x - 5•(-2x+20) = 12
[2] 16x = 112
// Solve equation [2] for the variable x
[2] 16x = 112
[2] x = 7
// By now we know this much :
x = 7
y = -2x+20
// Use the x value to solve for y
y = -2(7)+20 = 6
Solution :
{x,y} = {7,6}