Question

help me plz :3
a) 13x+2=4x+38
b) 6+3y =8y-14
c) 2m+5=3m-7
d) 2x + 5=13
e) 7m + 12 = -4m + 78
thank u

Answer 1

Step-by-step explanation:

We Have :-

$13x + 2 = 4x + 38 \\ \\ \\ 6 + 3y = 8y - 14 \\ \\ \\ 2m + 5 = 3m - 7 \\ \\ \\ 2x + 5 = 13 \\ \\ \\ 7m + 12 = 78 - 4m$

To Find :-

$find \: the \: value \: of \: the \: variables$

Solution :-

$13x + 2 = 4x + 38 \\ \\ \\ 13x - 4x = 38 - 2 \\ \\ \\ 9x = 36 \\ \\ \\ x = \dfrac{36}{9} \\ \\ \\ x = 4 \\ \\ \\ \\ 6 + 3y = 8y - 14 \\ \\ \\ 3y - 8y = - 14 - 6 \\ \\ \\ - 5y = - 20 \\ \\ \\ 5y = 20 \\ \\ \\ y = \dfrac{20}{5} \\ \\ \\ y = 4 \\ \\ \\ \\ 2m + 5 = 3m - 7 \\ \\ \\ 2m - 3m = - 7 - 5 \\ \\ \\ - m = - 12 \\ \\ \\ m = 12 \\ \\ \\ \\ 2x + 5 = 13 \\ \\ \\ 2x = 13 - 5 \\ \\ \\ 2x = 8 \\ \\ \\ x = \dfrac{8}{2} \\ \\ \\ x = 4 \\ \\ \\ \\ 7m + 12 = 78 - 4m \\ \\ \\ 7m + 4m = 78 - 12 \\ \\ \\ 11m = 66 \\ \\ \\ m = \dfrac{66}{11} \\ \\ \\ m = 6$

Answer 2

Answer:

◗Solutions:-

$\sf a) 13x + 2 = 4x + 38 \\\\\dashrightarrow\sf 13x - 4x = 38 - 2 \\\\\dashrightarrow\sf 9x = 36 \\\\\dashrightarrow\sf x = \dfrac{36}{9}\\\\\dashrightarrow\large{\underline{\boxed{\sf\blue{x = 4 }}}}$

•°• ${\underline{\textsf{Value\:of\:x = {\textbf{4}}}}}$

$\rule{200}{1}$

$\sf b) 6 + 3y = 8y - 14 \\\\\dashrightarrow\sf 3y - 8y = -14 - 6 \\\\\dashrightarrow\sf -5y = -20 \\\\\dashrightarrow\sf y = \dfrac{-20}{-5} \\\\\dashrightarrow\large{\underline{\boxed{\sf\blue{y = 4}}}}$

•°• ${\underline{\textsf{Value \:of \:y = {\textbf{4 }}}}}$

$\rule{200}{1}$

$\sf c) 2m + 5 = 3m - 7 \\\\\dashrightarrow\sf 2m - 3m = - 7 - 5 \\\\\dashrightarrow\sf - m = -12 \\\\\dashrightarrow\large{\underline{\boxed{\sf\blue{m = 12 }}}}$

•°• ${\underline{\textsf{Value \:of \:m = {\textbf{12 }}}}}$

$\rule{200}{1}$

$\sf d) 2x + 5 = 13 \\\\\dashrightarrow\sf 2x = 13 - 5 \\\\\dashrightarrow\sf 2x = 8 \\\\\dashrightarrow\sf x = \dfrac{8}{2} \\\\\dashrightarrow\large{\underline{\boxed{\sf\blue{x = 4 }}}}$

•°• ${\underline{\textsf{Value \: of \:x = {\textbf{ 4 }}}}}$

$\rule{200}{1}$

$\sf e) 7m + 12 = -4m + 78 \\\\\dashrightarrow\sf 7m + 4m = 78 - 12 \\\\\dashrightarrow\sf 11m = 66 \\\\\dashrightarrow\sf m = \dfrac{66}{11} \\\\\dashrightarrow\large{\underline{\boxed{\sf\blue{m = 6 }}}}$

•°• ${\underline{\textsf{Value \: of \: m = {\textbf{6 }}}}}$