Question

solve the following equation
$x + 1 \div 4 = 7 \div 4$
​

Answer 1

Answer:

3/2

Step-by-step explanation:

see answer in picture

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Answer 2

Solution:

We are given an equation.

$\tt{\longrightarrow \dfrac{x+1}{4} = \dfrac{7}{4}}$

We need to solve this equation by finding the value of x.

Let us cross multiply the given equation.

$\tt{\longrightarrow 4(x+1) = 7 \times 4}$

On multiplying on 4 on both sides, we get:

$\tt{\longrightarrow 4x + 4 = 28}$

$\tt{\longrightarrow 4x = 28-4}$

$\tt{\longrightarrow 4x = 24}$

$\tt{\longrightarrow x = \dfrac{24}{4}}$

$\tt{\longrightarrow x = 6}$

Hence, the value of x is equal to 6 and the given equation is solved!

Verification:

Let us substitute the value of x in the given equation to verify whether our value of x is correct or not.

$\tt{\longrightarrow \dfrac{x+1}{4} = \dfrac{7}{4}}$

$\tt{\longrightarrow \dfrac{6+1}{4} = \dfrac{7}{4}}$

$\tt{\longrightarrow \dfrac{7}{4} = \dfrac{7}{4}}$

$\tt{\longrightarrow LHS = RHS}$

Hence, verified.