Solve the Basic Simultaneous Equations: x + y = 18, y = 13

Solve the following equations:

$\begin{cases} x+y=18 \\ y=13 \end{cases}$

To solve the system of equations using substitution, follow these steps:

• The system of equations given is: $\begin{cases} x + y = 18 \\ y = 13 \end{cases}$
• Step 1: Extract the given value for $y$ from the second equation: $y = 13$.
• Step 2: Substitute $y = 13$ into the first equation: $x + 13 = 18$
• Step 3: Solve for $x$ by subtracting $13$ from both sides of the equation: $x = 18 - 13$
• Step 4: After the subtraction, we find: $x = 5$

Therefore, the solution to the problem is $x = 5$ and $y = 13$.