2X-3Y=6
X=1
FIND THE VALUE OF Y
You asked:
Solve the equations \[\begin{aligned}2 X - 3 Y &= 6\\X &= 1\end{aligned}\] for the unknown \(Y\).
MathBot Answer:
The system of linear equations has exactly one solution.
\[Y = - \frac{4}{3}\]
Solve \(2 X - 3 Y = 6\) for \(X\). \[X = \frac{3 Y}{2} + 3\]
Substitute \(\frac{3 Y}{2} + 3\) for \(X\) in \(X = 1\) and simplify. $$\begin{aligned}X &= 1 \\ \left(\frac{3 Y}{2} + 3\right) &= 1 \\ Y &= - \frac{4}{3} \end{aligned}$$
Use substitution of the numerical value of \(Y\) to get the values of \(X\). $$\begin{aligned}X &= \frac{3 Y}{2} + 3 \\ X &= 3 \left(-4\right) \frac{1}{3} \cdot \frac{1}{2} + 3 \\ X &= 1\end{aligned}$$