Question

If x=7 and y=5 is the solution of the linear equation: 7x + by = 74, then find the
value of b.​

Answer 1

Answer:

equation :7x+by=74

7*7+b*5=74 {given X=7 and Y=5}

49+5b=74

5b=74-49

5b=25

b=25/5

b= 5..

therefore,b=5

Answer 2

Question:-

If x=7 and y=5 is the solution of the linear equation: 7x + by = 74, then find the value of b?

Answer:-

According to the question:-

$7x + by = 74$

Where,

$x = 7 \\ y = 5 \\ b = \boxed { \rm{to \: find}}$

Here we go:-

$\boxed{ \red {7x + by = 74}} \\ \\ (7 \times 7) + 5b = 74 \\ \\ 49 + 5b = 74 \\ \\ 5b = 74 - 49 \\ \\ 5b = 25 \\ \\ b = \frac{25}{5} \\ \\ \boxed { \red{ \rm{b = 5}}}$

Hence, the value of b is 5.

Verification:-

$7x + by = 74 \\ \\ (7 \times 7) + (5 \times 5) = 74 \\ \\ 49 + 25 = 74 \\ \\ \boxed{ \red{74 = 74}} \\ \\ \boxed{\rm{ \pink {lhs= rhs}}}$

Hence, proved.