Solve for y
y = \frac{72}{7} = 10\frac{2}{7} \approx 10.285714286
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y≔\frac{72}{7}
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y=\frac{35+2}{7}+\frac{5}{1}
Multiply 5 and 7 to get 35.
y=\frac{37}{7}+\frac{5}{1}
Add 35 and 2 to get 37.
y=\frac{37}{7}+5
Anything divided by one gives itself.
y=\frac{37}{7}+\frac{35}{7}
Convert 5 to fraction \frac{35}{7}.
y=\frac{37+35}{7}
Since \frac{37}{7} and \frac{35}{7} have the same denominator, add them by adding their numerators.
y=\frac{72}{7}
Add 37 and 35 to get 72.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}