Question

Seven times a decreased by 9 is 17.​

Answer 1

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Given:

• Statement: Seven times a number decreased by 9 is 17.

To do:

• Convert the given statement into equation.

Answer:

Let, the number be $\bold x$

$\Large{\boxed{\sf{\green{7x-9=17}}}}$

Solution of the equation:

$\sf\implies 7x-9=17$

$\sf\implies 7x=17+9$

$\sf\implies 7x=26$

• $\large\underline{\boxed{\sf{\red{x=\frac{26}{7}}}}}$

Verification:

To verify, substitute $\sf\frac{26}{7}$ in place of 'x' in the equation.

$\sf\implies 7x-9=17$

$\sf\implies (7×\frac{26}{7})-9=17$

$\sf\implies 26-9=17$

$\sf\implies 17=17$

$\bold{\implies L.H.S = R.H.S}$

• $\large{\underline{\underline{\tt{\blue{Hence,\: verified\:!}}}}}$

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