20 POINTS!!!!! What is the value of p in the equation below? 4/5p + 6= -1/3p - 3 p=?

Question

asked Apr 13, 2020 232k views

1 Answer

JavierSegoviaCordoba · Answer 1 · 2020-04-19T16:50:49+0000

For this case we must solve the following equation:

$\frac {4} {5} p + 6 = - \frac {1} {3} p-3$

Adding
$\frac {1} {3} p$ to both sides of the equation we have:

$\frac {4} {5} p + \frac {1} {3} p + 6 = -3\\\frac {3 * 4 + 5 * 1} {3 * 5} p + 6 = -3\\\frac {12 + 5} {15} p + 6 = -3\\\frac {17} {15} p + 6 = -3$

Subtracting 6 from both sides of the equation:

$\frac {17} {15} p = -3-6$

Equal signs are added and the same sign is placed:

$\frac {17} {15} p = -9$

We multiply by 15 on both sides of the equation:

$17p = -9 * 15\\17p = -135$

We divide between 17 on both sides of the equation:

$p = - \frac {135} {17}$

Thus, the value of the variable p is
$- \frac {135} {17}$

Answer:

$p = - \frac {135} {17}$