Question

what is the solution of this equation? -4b + 10 = -2

linear equations in 1 variable: isolating the variable​

Answer 1

$-4b + 10 = -2$

$- 4b = - 2 - 10$

$- 4b = - 12$

$4b = 12$

$b = \frac{12}{4}$

$b = 3$

Answer 2

$\sf \longrightarrow \: - 4b + 10 = - 2 \\ \sf \longrightarrow \: - 4b = - 2 - 10 \\ \sf \longrightarrow \: b = \frac{ - 12}{ - 4} = 3 \: \: \: \:$

For verification we can simply put the value of "b" in the given equation and check whether it satisfies the equation or not.

$\sf \longrightarrow \: - 4 \times 3 + 10 = - 2 \\ \sf \longrightarrow \: - 12 + 10 = - 2 \: \: \: \: \: \\ \sf \longrightarrow \: - 2 = - 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now, L.H.S. = R.H.S.

Hence, verified.

Hope it helps you mate :)