Solve for x
x=\frac{5-y}{2}
Solve for y
y=5-2x
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-4x=2y-3-7
Subtract 7 from both sides.
-4x=2y-10
Subtract 7 from -3 to get -10.
\frac{-4x}{-4}=\frac{2y-10}{-4}
Divide both sides by -4.
x=\frac{2y-10}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{5-y}{2}
Divide -10+2y by -4.
2y-3=-4x+7
Swap sides so that all variable terms are on the left hand side.
2y=-4x+7+3
Add 3 to both sides.
2y=-4x+10
Add 7 and 3 to get 10.
2y=10-4x
The equation is in standard form.
\frac{2y}{2}=\frac{10-4x}{2}
Divide both sides by 2.
y=\frac{10-4x}{2}
Dividing by 2 undoes the multiplication by 2.
y=5-2x
Divide -4x+10 by 2.
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y = 3x + 4
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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