Solve for x
x=\frac{y-6}{4}
Solve for y
y=4x+6
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y-2=4\left(x+1\right)
The opposite of -1 is 1.
y-2=4x+4
Use the distributive property to multiply 4 by x+1.
4x+4=y-2
Swap sides so that all variable terms are on the left hand side.
4x=y-2-4
Subtract 4 from both sides.
4x=y-6
Subtract 4 from -2 to get -6.
\frac{4x}{4}=\frac{y-6}{4}
Divide both sides by 4.
x=\frac{y-6}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y}{4}-\frac{3}{2}
Divide y-6 by 4.
y-2=4\left(x+1\right)
The opposite of -1 is 1.
y-2=4x+4
Use the distributive property to multiply 4 by x+1.
y=4x+4+2
Add 2 to both sides.
y=4x+6
Add 4 and 2 to get 6.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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