Question

6) Solve : 11×+4=7+5×
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Answer 1

Solution:

$\tt{11x + 4 = 7 + 5x}$

$\tt \to{11x + 4 - 5x = 7}$

$\tt\to{11x + 4 - 5 = 7}$

$\tt \to{6x + 4 = 7}$

$\tt \to{6x = 7 - 4}$

$\tt \to{6x = 3}$

$\tt \to{x = \cancel\frac{3}{6}}$

$\tt \to{x = \frac{1}{2}}$

Verification:

Putting x = 1/2 in the LHS

$\sf{ = 11 \times \frac{1}{2} + 4 = 5.5 + 4 = 9.5}$

Putting x = 1/2 in the RHS

$\sf{ = 7 + 5 \times \frac{1}{2} = 7 + 2.2 = 9.5}$

9.5 = 9.5

LHS = RHS

Hence, verified!