Solve the system of linear equations by elimination. 8x-5y=11 4x-3y=5
2 answers:
System of linear equation entered :
[1] 8x - 5y = 11
[2} 4x - 3y = 5
Graphic representation of the
Equations :
-5y + 8x = 11 -3y + 4x = 5
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 4x = 3y + 5
[2] x = 3y/4 + 5/4
// Plug this in for variable x in equation [1]
[1] 8•(3y/4+5/4) - 5y = 11
[1] y = 1
// Solve equation [1] for the variable y
[1] y = 1
// By now we know this much :
x = 3y/4+5/4
y = 1
// Use the y value to solve for x
x = (3/4)(1)+5/4 = 2
Solution :
{x,y} = {2,1}
[1] 8x - 5y = 11
[2} 4x - 3y = 5
Graphic representation of the
Equations :
-5y + 8x = 11 -3y + 4x = 5
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 4x = 3y + 5
[2] x = 3y/4 + 5/4
// Plug this in for variable x in equation [1]
[1] 8•(3y/4+5/4) - 5y = 11
[1] y = 1
// Solve equation [1] for the variable y
[1] y = 1
// By now we know this much :
x = 3y/4+5/4
y = 1
// Use the y value to solve for x
x = (3/4)(1)+5/4 = 2
Solution :
{x,y} = {2,1}
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