Final answer:
To find the point that fits both equations, we can use the method of substitution or elimination. By substituting the value of y in the second equation, we can solve for x and y.
Step-by-step explanation:
To find the point that fits both equations, we can use the method of substitution or elimination. I'll demonstrate using the method of substitution:
Step 1: Since y = 1.5x + 2, we substitute this value for y in the second equation:
9x + 4(1.5x + 2) = 41
Step 2: Simplify the equation:
9x + 6x + 8 = 41
15x + 8 = 41
Step 3: Solve for x:
15x = 41 - 8
15x = 33
x = 33/15
x = 2.2
Step 4: Substitute the value of x back into the first equation to solve for y:
y = 1.5(2.2) + 2
y = 3.3 + 2
y = 5.3
The point (2.2, 5.3) fits both equations.