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Mathematics - Algebra - Systems of Equations

Find the solution to each system by the substitution method.

1.5x -2y=8 1(5x)-1(2y)=1(8) 5x-2y=8
3x - y=7 2(3x)-2(y)=2(7) 6x-2y=14
11x =22

X=
Y=

Find the solution to each system by the addition (elimination) method.
2. 12x - 5y= -7 2(12x)-2(5y)= 2(-7) 24x-10y=14
4x + 2y= 5 5(4x)+5(2y)=5(5) 20x + 10y=25
44x =39
x=
y=
If possible, solve each system of equations. Use any method.
3. 8x - y=17 3(8x)-3(y)=3(17) 24x-3y=51
4x + 3y=33 1(4x)+1(3y)=1(33) 4x+3y=33
28x =84
x= 3.5
8(3.5)-y=17
28-1y=17
-1y= -16
Y=16

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(1) From the second equation, we get y = 3x - 7

Plug this in place of y in the first equation. Then we have

5x - 2(3x - 7) = 8

5x - 6x + 14 = 8

-x = -6

x = 6

y = 3(6) - 7 = 11

The ...

Solution Summary

The expert examines systems of equations for mathematic algebra. A Complete, Neat and Step-by-step Solution is provided.

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