Solve (3x+7y-4z)-(3x+5y-3z) | 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

$$(3x+7y-4z)-(3x+5y-3z)$$

Evaluate

$2y-z$

Solution Steps

To find the opposite of $3x+5y-3z$, find the opposite of each term.

$$3x+7y-4z-3x-5y-\left(-3z\right)$$

The opposite of $-3z$ is $3z$.

$$3x+7y-4z-3x-5y+3z$$

Combine $3x$ and $-3x$ to get $0$.

$$7y-4z-5y+3z$$

Combine $7y$ and $-5y$ to get $2y$.

$$2y-4z+3z$$

Combine $-4z$ and $3z$ to get $-z$.

$$2y-z$$

Expand

$2y-z$

Solution Steps

To find the opposite of $3x+5y-3z$, find the opposite of each term.

$$3x+7y-4z-3x-5y-\left(-3z\right)$$

The opposite of $-3z$ is $3z$.

$$3x+7y-4z-3x-5y+3z$$

Combine $3x$ and $-3x$ to get $0$.

$$7y-4z-5y+3z$$

Combine $7y$ and $-5y$ to get $2y$.

$$2y-4z+3z$$

Combine $-4z$ and $3z$ to get $-z$.

$$2y-z$$