5x+2y=10 if x=1 value of y
You asked:
Given the following equations: \[\begin{aligned}5 x + 2 y &= 10\\ x &= 1\end{aligned}\] Evaluate \(y\).
MathBot Answer:
The system of linear equations has exactly one solution.
\[y = \frac{5}{2}\]
Solve \(5 x + 2 y = 10\) for \(x\). \[x = 2 - \frac{2 y}{5}\]
Substitute \(2 - \frac{2 y}{5}\) for \(x\) in \(x = 1\) and simplify. $$\begin{aligned}x &= 1 \\ \left(2 - \frac{2 y}{5}\right) &= 1 \\ y &= \frac{5}{2} \end{aligned}$$
Use substitution of the numerical value of \(y\) to get the values of \(x\). $$\begin{aligned}x &= 2 - \frac{2 y}{5} \\ x &= 2 - 2 \cdot 5 \cdot \frac{1}{2} \cdot \frac{1}{5} \\ x &= 1\end{aligned}$$