3a-2b=4. get the value of b if a is -2
You asked:
Given the following equations: \[\begin{aligned}3 a - 2 b &= 4\\ a &= -2\end{aligned}\] Evaluate \(b\).
MathBot Answer:
The system of linear equations has exactly one solution.
The substitution is \( b = -5 \).
\[b = -5\]
Solve \(3 a - 2 b = 4\) for \(a\). \[a = \frac{2 b}{3} + \frac{4}{3}\]
Substitute \(\frac{2 b}{3} + \frac{4}{3}\) for \(a\) in \(a = -2\) and simplify. $$\begin{aligned}a &= -2 \\ \left(\frac{2 b}{3} + \frac{4}{3}\right) &= -2 \\ b &= -5 \end{aligned}$$
Use substitution of the numerical value of \(b\) to get the values of \(a\). $$\begin{aligned}a &= \frac{2 b}{3} + \frac{4}{3} \\ a &= \frac{2 \cdot -5}{3} + \frac{4}{3} \\ a &= -2\end{aligned}$$