### Linear Equations

goals
Solve.
$\dfrac{5z}{20}=10$
Solve: $\displaystyle \frac{34}{3x+4y}+\displaystyle \frac{15}{3x-2y}= 5$ and $\displaystyle \frac{25}{3x-2y}-\displaystyle \frac{8.50}{3x+4y}= 4.5$
A two-digit number is $3$ more than $4$ times the sum of the digits. If $18$ is added to the number, the digits are reversed. Find the number.
Simplify
$\dfrac { 2x+7 }{ 5 } -\dfrac { 3x-11 }{ 2 } =\dfrac { 2x+8 }{ 3 } -5$
$A$ and $B$ each have a certain number of mangoes. $A$ says to $B$, "if you give $30$ of your mangoes, I will have twice as many as left with you." $B$ replies, "if you give me $10$, I will have thrice as many as left with you," How many mangoes does each have?