2y+x=8
x=6
find y
You asked:
Solve the equations \[\begin{aligned}2 y + x &= 8\\x &= 6\end{aligned}\] for the unknown \(y\).
MathBot Answer:
The system of linear equations has exactly one solution.
\[y = 1\]
Solve \(x + 2 y = 8\) for \(x\). \[x = 8 - 2 y\]
Substitute \(8 - 2 y\) for \(x\) in \(x = 6\) and simplify. $$\begin{aligned}x &= 6 \\ \left(8 - 2 y\right) &= 6 \\ y &= 1 \end{aligned}$$
Use substitution of the numerical value of \(y\) to get the values of \(x\). $$\begin{aligned}x &= 8 - 2 y \\ x &= 8 - 2 \cdot 1 \\ x &= 6\end{aligned}$$