Question

7x+10÷5x+10=9÷7 solve and verify

Answer 1

Answer:

Value of x = 5

Step-by-step explanation:

$7x+10\div (5x+10)= 9\div 7$

$\implies \frac{7x+10}{5x+10}=\frac{9}{7}$

/* Do the cross multiplication, we get

$\implies 7(7x+10)=9(5x+10)$

$\implies 49x+70=45x+90$

$\implies 49x-45x = 90-70$

$\implies 4x = 20$

$\implies x = \frac{20}{4}=5$

Therefore,.

Value of x = 5

Verification:

Substitute x = 5 in the equation, we get

$LHS = \frac{7x+10}{5x+10}\\=\frac{7\times 5+10}{5\times 5+10}\\=\frac{35+10}{25+10}\\=\frac{45}{35}\\=\frac{9}{7}\\=RHS$

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Answer 2

Answer:

⟹49x+70=45x+90

\implies 49x-45x = 90-70⟹49x−45x=90−70

\implies 4x = 20⟹4x=20

\implies x = \frac{20}{4}=5⟹x=

4

20

=5

Therefore,.

Value of x = 5

Verification:

Substitute x = 5 in the equation, we get

\begin{gathered}LHS = \frac{7x+10}{5x+10}\\=\frac{7\times 5+10}{5\times 5+10}\\=\frac{35+10}{25+10}\\=\frac{45}{35}\\=\frac{9}{7}\\=RHS\end{gathered}

LHS=

5x+10

7x+10

=

5×5+10

7×5+10

=

25+10

35+10

=

35

45

=

7

9

=RHS