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
[tex]\huge\bf Question:– [/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex] \bf \huge \: To \: Find:–[/tex]
[tex] \boxed{\bf \: Value\: of \: A}[/tex]
[tex]\huge\bf Solution:–[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex]\boxed{ \bf \: Add -2x \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y+−2x=15+−2x[/tex]
[tex]\sf \longmapsto \: 3a−3y=−2x+15[/tex]
[tex]\boxed{ \bf \: Add \: 3y \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a−3y+3y=−2x+15+3y[/tex]
[tex]\sf \longmapsto \: 3a=−2x+3y+15[/tex]
[tex] \boxed{\bf \: \: Divide \: both \: sides \: by \: 3}[/tex]
[tex]\sf \longmapsto \: \dfrac{3a}{3} = \dfrac{−2x+3y+15}{3} [/tex]
[tex] \boxed{\bf \: Cross \: Multiply}[/tex]
[tex]\boxed{\sf \longmapsto \: a = \dfrac{ - 2}{3} x + y + 5}[/tex]
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[tex]\bf \: Put\:The\: Value[/tex]
[tex] \sf \longmapsto \: \dfrac{−2x+3y+15}{3} +7÷10[/tex]
[tex] \boxed{\bf \: Distribute}[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x+y+5+ \dfrac{7}{10} [/tex]
[tex] \boxed{\bf \: Combine \: Like \: terms}[/tex]
[tex]\sf \longmapsto \: \bigg( \dfrac{ - 2}{3} x\bigg) + y +\bigg( 5 + \dfrac{7}{10} \bigg)[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x + y + \dfrac{57}{10} [/tex]
______________________________________
[tex]\boxed{\bf The Answer\: is:–}[/tex]
[tex]\boxed{{\underline{\bf\dfrac{ - 2}{3} x + y + \dfrac{57}{10}} }}[/tex]
