Solve for x
x = -\frac{7}{5} = -1\frac{2}{5} = -1.4
y\neq 0
Solve for y
y\neq 0
x=-\frac{7}{5}\text{ and }y\neq 0
Graph
Quiz
Linear Equation
5 problems similar to:
\frac { 5 x } { 2 } = - \frac { y } { y } - \frac { 5 } { 2 }
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y\times 5x=-2y+2y\left(-\frac{5}{2}\right)
Multiply both sides of the equation by 2y, the least common multiple of 2,y.
y\times 5x=-2y-5y
Multiply 2 and -\frac{5}{2} to get -5.
y\times 5x=-7y
Combine -2y and -5y to get -7y.
5yx=-7y
The equation is in standard form.
\frac{5yx}{5y}=-\frac{7y}{5y}
Divide both sides by 5y.
x=-\frac{7y}{5y}
Dividing by 5y undoes the multiplication by 5y.
x=-\frac{7}{5}
Divide -7y by 5y.
y\times 5x=-2y+2y\left(-\frac{5}{2}\right)
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2y, the least common multiple of 2,y.
y\times 5x=-2y-5y
Multiply 2 and -\frac{5}{2} to get -5.
y\times 5x=-7y
Combine -2y and -5y to get -7y.
y\times 5x+7y=0
Add 7y to both sides.
\left(5x+7\right)y=0
Combine all terms containing y.
y=0
Divide 0 by 5x+7.
y\in \emptyset
Variable y cannot be equal to 0.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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699 * 533
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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]
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}