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Solve the system of linear equations by elimination. 8x-5y=11 4x-3y=5

Sagot :

Answer:

(x,y)= ( 5 over 273, - 265 over 273)

Step-by-step explanation:

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}




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