Question

Simplify and solve the given equation linear equation 15(y – 4) – 2(y – 9) + 5(y + 6) = 0

Answer 1

$\huge\purple{ \underline{ \boxed{\mathbb{\red{QUESTION : }}}}}$

$\small \textsf{Solve: 15 ( y - 4) - 2 ( y - 9) + 5 ( y + 6 ) = 0}$

$\huge\purple{ \underline{ \boxed{\mathbb{\red{ANSWER : }}}}}$

$\large\displaystyle { \color{red} \sf y = \frac{2}{3} }$

$\green{ \large \underline{ \mathbb{\underline{GIVEN : }}}}$

$\textsf{15 ( y - 4) - 2 ( y - 9) + 5 ( y + 6 ) = 0}$

$\green{ \large \underline{ \mathbb{\underline{TO \: FIND : }}}}$

$\red{ \overline\textsf{\underline{Value of y .}}}$

$\green{ \large \underline{ \mathbb{\underline{SOLUTION: }}}}$

$\begin{array}{l} \\ \hline \\ \small \sf{15 ( y - 4) - 2 ( y - 9) + 5 ( y + 6 ) = 0} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \\\small \sf15y - 60 - 2y + 18 + 5y + 30 = 0 \\ \\ \small \sf15y - 2y + 5y - 60 + 18 + 30 = 0 \\ \\ \small \sf13y + 5y - 60 + 48 = 0 \\ \\ \small \sf18y - 12 = 0 \\ \\ \small \sf18y = 12 \\ \\ \small \displaystyle\sf y = \frac{12}{18} \\ \\ \small \displaystyle\sf y = \frac{2}{3} \\ \\ \hline\\ \end{array}$

Answer 2

Step-by-step explanation:

given equation is that

$15(y - 4) - 2(y - 9) + 5(y + 6) = 0$

solution

simplify by solving brackets

$15(y - 4) - 2(y - 9) + 5(y + 6) = 0$

$15y - 60- 2y + 18 + 5y + 30 = 0$

add the numbers

$15y - 12 - 2y + 5y = 0$

combine like terms

$18y - 12 = 0$

add 12 to both side of equation

$18y - 12 + 12 = 0 + 12$

simplify

we get

$18y = 12$

by solving we get

$y = \frac{12}{18} = \frac{2}{3}$

hence value of variable y is 2 by 3.