Question

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

Answer 1

Step-by-step explanation:

$2a = b + 9 \\ a = \frac{b + 9}{2} \: \: (i)$

$4a - 3b - 13 = 0$

$substituting \: (i) \: in \: this \: equation$

$4( \frac{b + 9}{2}) - 3b - 13$

$2(b + 9) - 3b - 13 = 0 \\ 2b + 18 - 3b - 13 = 0 \\ - b + 5 = 0 \\ - b = - 5 \\ b = 5$

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

Answer 2

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