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Solve the following system of equation.
8x + 5y = 20
7x+4y=19
x=
y=

Sagot :

Amal2002864idn
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Step by Step Solution
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System of Linear Equations entered :

[1] 3x - y = 19
[2] 8x - 5y = 20
Graphic Representation of the Equations :

y + 3x = 19 -5y + 8x = 20



Solve by Substitution :

// Solve equation [1] for the variable y


[1] y = 3x - 19

// Plug this in for variable y in equation [2]

[2] 8x - 5•(3x-19) = 20
[2] -7x = -75
// Solve equation [2] for the variable x


[2] 7x = 75

[2] x = 75/7
// By now we know this much :

x = 75/7
y = 3x-19
// Use the x value to solve for y

y = 3(75/7)-19 = 92/7
Solution :
{x,y} = {75/7,92/7}
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