Answer:
Explanation:
To graph the equation 3(x - 2) = 5(x + 1), we can first simplify it by expanding the brackets:
3x - 6 = 5x + 5
Next, we can isolate the variable on one side of the equation. We can do this by subtracting 3x from both sides and adding 6 to both sides:
-11 = 2x
x = -11/2
Now we have the x-coordinate of the point where the graph of the equation intersects the x-axis. To find the y-coordinate of this point, we can substitute x = -11/2 into one of the original equations and solve for y:
3(x - 2) = 5(x + 1)
3(-11/2 - 2) = 5(-11/2 + 1)
-33/2 - 6 = -55/2 + 5
-33/2 - 6 + 55/2 = 5
-33/2 + 44/2 = 5
11/2 = 5