linear equation in one variable
1) 2x+3y=-4 , x-5y=11
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Answer:
{x,y} = {1,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 2x + 3y = -4
[2] x - 5y = 11
Graphic Representation of the Equations :
3y + 2x = -4 -5y + x = 11
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 5y + 11
// Plug this in for variable x in equation [1]
[1] 2•(5y+11) + 3y = -4
[1] 13y = -26
// Solve equation [1] for the variable y
[1] 13y = - 26
[1] y = - 2
// By now we know this much :
x = 5y+11
y = -2
// Use the y value to solve for x
x = 5(-2)+11 = 1
Solution :
{x,y} = {1,-2}
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