To find the coordinates of the meeting points of the two given equations, we need to solve them simultaneously. These equations are linear, with variables x and y, which represent the coordinates of the point. Here's the method how to do it:
Step 1: Begin by setting up the system of equations:
1. x + y = 3
2. x + 2y = 5
Step 2: The idea is to get one of the variables, let's say y, alone in one equation so it can be substituted into the other. You can do this by taking the first equation and solve for y:
y = 3 - x
Step 3: Substitute y into the second equation:
x + 2*(3 - x) = 5
Step 4: Simplify the equation by distributing the 2 inside the parentheses:
x + 6 - 2x = 5
So, -x = -1
Step 5: Solve for x by multiplying by -1 on both sides, we get:
x = 1
Step 6: Once we have the value for x, substitute it into the first equation to solve for y:
1 + y = 3
So, y = 2
Therefore, the solution to the system of equations is x=1 and y=2. This means that the point (1, 2) is the meeting point of the two lines represented by the equations x + y = 3 and x + 2y = 5.