Solve y=h^-1(x) | Microsoft Math Solver

Solve for h

{h = \frac{x}{y}, h \neq = 0, x \neq = 0 and y \neq = 0 y = 0 and x = 0

Steps for Solving Linear Equation

y = h^{- 1} (x)

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

h^{- 1} x = y

Reorder the terms.

\frac{1}{h} x = y

Variable

h

cannot be equal to

0

since division by zero is not defined. Multiply both sides of the equation by

h

1 x = y h

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

y h = 1 x

Reorder the terms.

h y = x

The equation is in standard form.

y h = x

Divide both sides by

y

\frac{y h}{y} = \frac{x}{y}

Dividing by

y

undoes the multiplication by

y

h = \frac{x}{y}

Variable

h

cannot be equal to

0

h = \frac{x}{y}, h \neq = 0

Solve for x

x = h y, h \neq = 0

Solution Steps

y = h^{- 1} (x)

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

h^{- 1} x = y

Reorder the terms.

\frac{1}{h} x = y

Multiply both sides of the equation by

h

1 x = y h

Reorder the terms.

x = h y

Graph

Quiz

Linear Equation

5 problems similar to:

y = h^{- 1} (x)

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h^{-1}x=y

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

\frac{1}{h}x=y

Reorder the terms.

1x=yh

Variable h cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by h.

yh=1x

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

hy=x

Reorder the terms.

yh=x

The equation is in standard form.

\frac{yh}{y}=\frac{x}{y}

Divide both sides by y.

h=\frac{x}{y}

Dividing by y undoes the multiplication by y.

h=\frac{x}{y}\text{, }h\neq 0

Variable h cannot be equal to 0.

h^{-1}x=y

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

\frac{1}{h}x=y

Reorder the terms.

1x=yh

Multiply both sides of the equation by h.

x=hy

Reorder the terms.

Examples

Quadratic equation

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

Trigonometry

4 sin θ cos θ = 2 sin θ

Linear equation

y = 3 x + 4

Arithmetic

699 * 533

Matrix

[2534] [2 - 1 0135]

Simultaneous equation

{8 x + 2 y = 46 7 x + 3 y = 47

Differentiation

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

Integration

\int_{0}^{1} x e^{- x^{2}} d x

Limits

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

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