Solve for x_3
x_{3}=2x_{5}-15
Solve for x_5
x_{5}=\frac{x_{3}+15}{2}
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x_{3}+7=2x_{5}-8
Use the distributive property to multiply x_{5}-4 by 2.
x_{3}=2x_{5}-8-7
Subtract 7 from both sides.
x_{3}=2x_{5}-15
Subtract 7 from -8 to get -15.
x_{3}+7=2x_{5}-8
Use the distributive property to multiply x_{5}-4 by 2.
2x_{5}-8=x_{3}+7
Swap sides so that all variable terms are on the left hand side.
2x_{5}=x_{3}+7+8
Add 8 to both sides.
2x_{5}=x_{3}+15
Add 7 and 8 to get 15.
\frac{2x_{5}}{2}=\frac{x_{3}+15}{2}
Divide both sides by 2.
x_{5}=\frac{x_{3}+15}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\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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