Question

3a+2x-3y=15Solve for a.Then Solve put the value for a =a+7÷10​

Answer 1

$\huge\bf Question:–$

$\sf \longmapsto \: 3a+2x−3y=15$

$\bf \huge \: To \: Find:–$

$\boxed{\bf \: Value\: of \: A}$

$\huge\bf Solution:–$

$\sf \longmapsto \: 3a+2x−3y=15$

$\boxed{ \bf \: Add -2x \: to \: both \: sides}$

$\sf \longmapsto \: 3a+2x−3y+−2x=15+−2x$

$\sf \longmapsto \: 3a−3y=−2x+15$

$\boxed{ \bf \: Add \: 3y \: to \: both \: sides}$

$\sf \longmapsto \: 3a−3y+3y=−2x+15+3y$

$\sf \longmapsto \: 3a=−2x+3y+15$

$\boxed{\bf \: \: Divide \: both \: sides \: by \: 3}$

$\sf \longmapsto \: \dfrac{3a}{3} = \dfrac{−2x+3y+15}{3}$

$\boxed{\bf \: Cross \: Multiply}$

$\boxed{\sf \longmapsto \: a = \dfrac{ - 2}{3} x + y + 5}$

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$\bf \: Put\:The\: Value$

$\sf \longmapsto \: \dfrac{−2x+3y+15}{3} +7÷10$

$\boxed{\bf \: Distribute}$

$\sf \longmapsto \: \dfrac{ - 2}{3} x+y+5+ \dfrac{7}{10}$

$\boxed{\bf \: Combine \: Like \: terms}$

$\sf \longmapsto \: \bigg( \dfrac{ - 2}{3} x\bigg) + y +\bigg( 5 + \dfrac{7}{10} \bigg)$

$\sf \longmapsto \: \dfrac{ - 2}{3} x + y + \dfrac{57}{10}$

______________________________________

$\boxed{\bf The Answer\: is:–}$

$\boxed{{\underline{\bf\dfrac{ - 2}{3} x + y + \dfrac{57}{10}} }}$

Answer 2

subtract 2 from both sides

3a - 3y =  15 - 2x

factor out the common term 3

3 (a-y) = 15 - 2x

divide both sides by 3

a - y = 15 - 2x/3

add y to both sides

a = 15-2x/3 + y

then solve put the value for a =

15-2x/3 + y + 7 ÷10​

simplify using the common denominator

10(15-2x)+7*3/30

simplify 7 * 3 to 21

10(15-2x)+21/30

expand

150-20x+21/30

simplify 150-20x+21 to -20x + 171

-20x+171/30

Answer: -20x+171/30