3x - 2y = -6, find y if x=-2
You asked:
Given the following equations: \[\begin{aligned}3 x - 2 y &= -6\\ x &= -2\end{aligned}\] Evaluate \(y\).
MathBot Answer:
The system of linear equations has exactly one solution.
The substitution is \( y = 0 \).
\[y = 0\]
Solve \(3 x - 2 y = -6\) for \(x\). \[x = \frac{2 y}{3} - 2\]
Substitute \(\frac{2 y}{3} - 2\) for \(x\) in \(x = -2\) and simplify. $$\begin{aligned}x &= -2 \\ \left(\frac{2 y}{3} - 2\right) &= -2 \\ y &= 0 \end{aligned}$$
Use substitution of the numerical value of \(y\) to get the values of \(x\). $$\begin{aligned}x &= \frac{2 y}{3} - 2 \\ x &= \frac{2 \cdot 0}{3} - 2 \\ x &= -2\end{aligned}$$