What is the solution to 2a=b+9 and 4a– 3b– 13= 0
The solution is a = ? , b = ?

2 thoughts on “What is the solution to 2a=b+9 and 4a– 3b– 13= 0<br /> The solution is a = ? , b = ?”

1. Given Equation

   ⇒2a = b + 9 (i)

   ⇒4a – 3b – 13 = 0 (ii)

   To Find

   ⇒The Value of a and b

   Take

   ⇒2(2a) – 3b – 13 = 0 (ii)

   Now put the value 2a = b+9

   ⇒2(b+9) – 3b – 13=0

   ⇒2b + 18 – 3b – 13 = 0

   ⇒-b + 5 = 0

   ⇒b = 5

   Put the value of b=5 on (i)st equation

   ⇒2a = b + 9 (i)

   ⇒2a = 5 + 9

   ⇒2a = 14

   ⇒a = 14/2

   ⇒a =7

   Answer

   ⇒a = 7 and b = 5

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2. Step-by-step explanation:

   [tex]2a = b + 9 \\ a = \frac{b + 9}{2} \: \: (i)[/tex]

   [tex]4a – 3b – 13 = 0[/tex]

   [tex]substituting \: (i) \: in \: this \: equation[/tex]

   [tex]4( \frac{b + 9}{2}) – 3b – 13[/tex]

   [tex]2(b + 9) – 3b – 13 = 0 \\ 2b + 18 – 3b – 13 = 0 \\ – b + 5 = 0 \\ – b = – 5 \\ b = 5[/tex]

   a =( 5 + 9)/2 = 14/2 = 7

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