Solve the following equations: x + 8y = 19 and 3x - y = 4

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X + 8Y = 19   ...(1)

3X - Y = 4      ...(2)

 

multiply the second equation by 8

8 x (2) => 24X - 8Y = 32 ....(3)

 

add the first and third equations

(1)+(3)=> X + 8Y +24X -8Y = 19 + 32

           =>   25X =51

           => X = 51/25 

Substitute this value in the  second equation

=> 3X - Y = 4

=>3 (51/25) - Y = 4

=> Y = 3(51/25) -4 

=> Y = (153/25) - 4

=> Y = (153/25) - (100/25)

=>Y = 53/25

 

 

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The set of linear equations

x + 8y = 19 ...(1)

3x - y = 4 ...(2)

has to be solved for x and y

From (1)

x = 19 - 8y

Substitute in (2)

=> 3(19 - 8y) - y = 4

=> 57 - 24y - y = 4

=> 53 = 25y

=> y = 53/25

x = 51/25

The solution of the set of equations is x = 51/25, y = 53/25

Approved by eNotes Editorial Team