Solve 1(5)/(9)-(z+(4)/(9))=(2)/(3) | 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

$$1 \frac{ 5 }{ 9 } -(z+ \frac{ 4 }{ 9 } )= \frac{ 2 }{ 3 }$$

Solve for z

$z=\frac{4}{9}\approx 0.444444444$

Steps for Solving Linear Equation

Multiply both sides of the equation by $9$, the least common multiple of $9,3$.

$$1\times 9+5-9\left(z+\frac{4}{9}\right)=6$$

Multiply $1$ and $9$ to get $9$.

$$9+5-9\left(z+\frac{4}{9}\right)=6$$

Add $9$ and $5$ to get $14$.

$$14-9\left(z+\frac{4}{9}\right)=6$$

Use the distributive property to multiply $-9$ by $z+\frac{4}{9}$.

$$14-9z-9\times \frac{4}{9}=6$$

Multiply $-9$ times $\frac{4}{9}$.

$$14-9z-4=6$$

Subtract $4$ from $14$ to get $10$.

$$10-9z=6$$

Subtract $10$ from both sides.

$$-9z=6-10$$

Subtract $10$ from $6$ to get $-4$.

$$-9z=-4$$

Divide both sides by $-9$.

$$z=\frac{-4}{-9}$$

Fraction $\frac{-4}{-9}$ can be simplified to $\frac{4}{9}$ by removing the negative sign from both the numerator and the denominator.

$$z=\frac{4}{9}$$