Solve for x, y
x=6d
y=2d
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x-3y=0
Consider the first equation. Subtract 3y from both sides.
y=2d,-3y+x=0
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y=2d
Pick one of the two equations which is more simple to solve for y by isolating y on the left hand side of the equal sign.
-3\times 2d+x=0
Substitute 2d for y in the other equation, -3y+x=0.
-6d+x=0
Multiply -3 times 2d.
x=6d
Add 6d to both sides of the equation.
y=2d,x=6d
The system is now solved.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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