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

Question

Solve the following equations:

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

Video Solution

Step-by-Step Solution

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

  • The system of equations given is: {x+y=18y=13 \begin{cases} x + y = 18 \\ y = 13 \end{cases}
  • Step 1: Extract the given value for y y from the second equation: y=13 y = 13 .
  • Step 2: Substitute y=13 y = 13 into the first equation: x+13=18 x + 13 = 18
  • Step 3: Solve for x x by subtracting 13 13 from both sides of the equation: x=1813 x = 18 - 13
  • Step 4: After the subtraction, we find: x=5 x = 5

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

Answer

x=5,y=13 x=5,y=13