Question

$$\frac{ y }{ 5 } + \frac{ y+3 }{ 2 } =29$$

Answer

y=275/7

Solution


Multiply both sides by \(10\) (the LCM of \(5, 2\)).
\[2y+5(y+3)=290\]
Expand.
\[2y+5y+15=290\]
Simplify  \(2y+5y+15\)  to  \(7y+15\).
\[7y+15=290\]
Subtract \(15\) from both sides.
\[7y=290-15\]
Simplify  \(290-15\)  to  \(275\).
\[7y=275\]
Divide both sides by \(7\).
\[y=\frac{275}{7}\]

Decimal Form: 39.285714