Type a math problem

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Type a math problem

Solve for x, y

x=37<br/>y=34

$x=37$

$y=34$

$y=34$

Solution Steps

\left. \begin{array} { l } { x - 3 = y } \\ { 4 x = 37 + 3 x } \end{array} \right

Consider the second equation. Subtract 3x from both sides.

Consider the second equation. Subtract $3x$ from both sides.

4x-3x=37

$4x−3x=37$

Combine 4x and -3x to get x.

Combine $4x$ and $−3x$ to get $x$.

x=37

$x=37$

Consider the first equation. Insert the known values of variables into the equation.

Consider the first equation. Insert the known values of variables into the equation.

37-3=y

$37−3=y$

Subtract 3 from 37 to get 34.

Subtract $3$ from $37$ to get $34$.

34=y

$34=y$

Swap sides so that all variable terms are on the left hand side.

Swap sides so that all variable terms are on the left hand side.

y=34

$y=34$

The system is now solved.

The system is now solved.

x=37 y=34

$x=37$ $y=34$

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4x-3x=37

Consider the second equation. Subtract 3x from both sides.

x=37

Combine 4x and -3x to get x.

37-3=y

Consider the first equation. Insert the known values of variables into the equation.

34=y

Subtract 3 from 37 to get 34.

y=34

Swap sides so that all variable terms are on the left hand side.

x=37 y=34

The system is now solved.

Examples

Quadratic equation

{ x } ^ { 2 } - 4 x - 5 = 0

$x_{2}−4x−5=0$

Trigonometry

4 \sin \theta \cos \theta = 2 \sin \theta

$4sinθcosθ=2sinθ$

Linear equation

y = 3x + 4

$y=3x+4$

Arithmetic

699 * 533

$699∗533$

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]

$[25 34 ][2−1 01 35 ]$

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

${8x+2y=467x+3y=47 $

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

$dxd (x−5)(3x_{2}−2) $

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

$∫_{0}xe_{−x_{2}}dx$

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

$x→−3lim x_{2}+2x−3x_{2}−9 $

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