Answer:
hey
Step-by-step explanation:
To find the intersection point of two lines, we need to solve the system of equations formed by the two equations of the lines. Let's solve the given equations:
Equation 1: 3x + 2y = 270
Equation 2: y = (4/5)x + 20
To solve the system, we can substitute Equation 2 into Equation 1:
3x + 2((4/5)x + 20) = 270
Now, let's simplify and solve for x:
3x + (8/5)x + 40 = 270
(15/5)x + (8/5)x = 270 - 40
(23/5)x = 230
x = (5/23) * 230
x = 50
Substituting the value of x into Equation 2, we can find y:
y = (4/5)x + 20
y = (4/5) * 50 + 20
y = 40 + 20
y = 60
Therefore, the intersection point of the lines is (50, 60).
