y+1=2x

x=-3

find y

asked by guest
on Dec 29, 2024 at 12:14 am



You asked:

Solve the equations \[\begin{aligned}y + 1 &= 2 x\\x &= -3\end{aligned}\] for the unknown \(y\).

MathBot Answer:

The system of linear equations has exactly one solution.

\[y = -7\]


Solve \(y + 1 = 2 x\) for \(x\). \[x = \frac{y}{2} + \frac{1}{2}\]

Substitute \(\frac{y}{2} + \frac{1}{2}\) for \(x\) in \(x = -3\) and simplify. $$\begin{aligned}x &= -3 \\ \left(\frac{y}{2} + \frac{1}{2}\right) &= -3 \\ y &= -7 \end{aligned}$$

Use substitution of the numerical value of \(y\) to get the values of \(x\). $$\begin{aligned}x &= \frac{y}{2} + \frac{1}{2} \\ x &= - \frac{7}{2} + 1 \cdot \frac{1}{2} \\ x &= -3\end{aligned}$$