Question

Verify by substitution that the root of 5x − 8 = 2x − 2 is x = 2

Answer 1

\[5x - 8 = 2x - 2 \]
Substituting x = 2 in the given equation:
\[L . H . S . \hspace{0.167em} : R . H . S . : \]
\[5 \times 2 - 8 = 2 \times 2 - 2\]
or, 10 - 8 = 2 = 4 - 2 = 2
\[L . H . S . = R . H . S . \]
Hence, x = 2 is the root of the given equation.