solution of x+y=10, x-y=-4 when solving by substitution method
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Solve by Substitution x+y=10 , x-y=4
x+y=10x+y=10 , x−y=4x-y=4
Subtract yy from both sides of the equation.
x=10−yx=10-y
x−y=4x-y=4
Replace all occurrences of xx in x−y=4x-y=4 with 10−y10-y.
x=10−yx=10-y
(10−y)−y=4(10-y)-y=4
Subtract yy from −y-y.
x=10−yx=10-y
10−2y=410-2y=4
Solve for yy in the second equation.
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x=10−yx=10-y
y=3y=3
Replace all occurrences of yy in x=10−yx=10-y with 33.
x=10−(3)x=10-(3)
y=3y=3
Simplify 10−(3)10-(3).
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x=7x=7
y=3y=3
The solution to the system of equations can be represented as a point.
(7,3)(7,3)
The result can be shown in multiple forms.
Point Form:
(7,3)(7,3)
Equation Form:
x=7,y=3x=7,y=3

x+y=10,x−y=4x+y=10,x-y=4
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