Solve VE.7/8+-1/7=-1/7+7/8. | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$VE.7/8+-1/7=-1/7+7/8.$$

Solve for E

$E=\frac{10}{V}$
$V\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $56$, the least common multiple of $8,7$.

$$7VE\times 0.7+8\left(-1\right)=8\left(-1\right)+49$$

Multiply $7$ and $0.7$ to get $4.9$.

$$4.9VE+8\left(-1\right)=8\left(-1\right)+49$$

Multiply $8$ and $-1$ to get $-8$.

$$4.9VE-8=8\left(-1\right)+49$$

Multiply $8$ and $-1$ to get $-8$.

$$4.9VE-8=-8+49$$

Add $-8$ and $49$ to get $41$.

$$4.9VE-8=41$$

Add $8$ to both sides.

$$4.9VE=41+8$$

Add $41$ and $8$ to get $49$.

$$4.9VE=49$$

The equation is in standard form.

$$\frac{49V}{10}E=49$$

Divide both sides by $4.9V$.

$$\frac{10\times \frac{49V}{10}E}{49V}=\frac{10\times 49}{49V}$$

Dividing by $4.9V$ undoes the multiplication by $4.9V$.

$$E=\frac{10\times 49}{49V}$$

Divide $49$ by $4.9V$.

$$E=\frac{10}{V}$$

Solve for V

$V=\frac{10}{E}$
$E\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $56$, the least common multiple of $8,7$.

$$7VE\times 0.7+8\left(-1\right)=8\left(-1\right)+49$$

Multiply $7$ and $0.7$ to get $4.9$.

$$4.9VE+8\left(-1\right)=8\left(-1\right)+49$$

Multiply $8$ and $-1$ to get $-8$.

$$4.9VE-8=8\left(-1\right)+49$$

Multiply $8$ and $-1$ to get $-8$.

$$4.9VE-8=-8+49$$

Add $-8$ and $49$ to get $41$.

$$4.9VE-8=41$$

Add $8$ to both sides.

$$4.9VE=41+8$$

Add $41$ and $8$ to get $49$.

$$4.9VE=49$$

The equation is in standard form.

$$\frac{49E}{10}V=49$$

Divide both sides by $4.9E$.

$$\frac{10\times \frac{49E}{10}V}{49E}=\frac{10\times 49}{49E}$$

Dividing by $4.9E$ undoes the multiplication by $4.9E$.

$$V=\frac{10\times 49}{49E}$$

Divide $49$ by $4.9E$.

$$V=\frac{10}{E}$$