if 3y-x = 4, find the value of y, when x=2
You asked:
Given the following equations: \[\begin{aligned}3 y - x &= 4\\ x &= 2\end{aligned}\] Evaluate \(y\).
MathBot Answer:
The system of linear equations has exactly one solution.
\[y = 2\]
Solve \(- x + 3 y = 4\) for \(x\). \[x = 3 y - 4\]
Substitute \(3 y - 4\) for \(x\) in \(x = 2\) and simplify. $$\begin{aligned}x &= 2 \\ \left(3 y - 4\right) &= 2 \\ y &= 2 \end{aligned}$$
Use substitution of the numerical value of \(y\) to get the values of \(x\). $$\begin{aligned}x &= 3 y - 4 \\ x &= \left(-1\right) 4 + 3 \cdot 2 \\ x &= 2\end{aligned}$$