A pair of equations is shown below.
X + y = 5
Y = 1/2x + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
To find the point of intersection of the two lines, we need to solve the system of equations.
First, substitute the second equation into the first equation:
x + (1/2x + 2) = 5
Combine like terms:
1.5x + 2 = 5
Subtract 2 from both sides:
1.5x = 3
Divide by 1.5:
x = 2
Now that we have the value of x, we can substitute it back into the second equation to find y:
y = (1/2)(2) + 2
y = 1 + 2
y = 3
Therefore, the lines representing the two equations intersect at the point (2, 3).