Question

Solve the following given equation and verify your answer 7x+19/2=13

Answer 1

Answer:

Step-by-step explanation:

$\frac{7x + 19}{2}$ = 13

7x + 19 = 13 × 2

7x + 19 = 26

7x = 26 - 19

7x = 7

x = $\frac{7}{7}$

x = 1

Answer 2

It is given that the value of $\dfrac{7x+19}{2}\:is\:13$


Multiply both sides of the given equation by 2, as the denominator of left hand side of the given equation is 2.


$\implies \dfrac{7x + 19}{2} \times 2 = 13 \times 2 \\ \\ \\ \implies 7x + 19 = 26 \\ \\ \implies 7x = 26 - 19 \\ \\ \implies 7x = 7 \\ \\ \implies x = \dfrac{7}{7} \\ \\ \\ \implies x = 1$



Hence the numeric value of x satisfying the given equation is 1 .


As it is required to verify the answer,

$\underline{\mathsf{Verifying \: the \: value \: o f \: x \: by \: substituting}} \\ \underline{\mathsf{ its \: numeric \: value \: in \: the \: equation : - }} \\ \\ \\ \implies \dfrac{7(1) + 19}{2} \\ \\ \\ \implies \dfrac{7 + 19}{2} \\ \\ \\ \implies \dfrac{26}{2} \\ \\ \\ \implies 13$



Hence, verified.