Math Problem Solver

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 $X$. $$\begin{aligned}X &= \frac{3 Y}{2} + 3 \\ X &= 3 \left(-4\right) \frac{1}{3} \cdot \frac{1}{2} + 3 \\ X &= 1\end{aligned}$$