Rose wants to solve the equation 12

Question

(15x
+ 6.8) = 5(4 + 0.7x
).

She uses a graphing program to graph the equations y
= 12
(15x
+ 6.8) and y
= 5(4 + 0.7x
).

Use the graph to find the solution of 12
(15x
+ 6.8) = 5(4 + 0.7x
).

Line graph with 2 lines. X axis ranges from negative 10 to 10; y axis range from 0 to 40; both lines cross x, y axes; do not pass through origin; intersect at (4.15, 34.525). Both lines extend from bottom left to upper right quadrants.
CLEAR CHECK

4.15

34.525

38.675

The equation does not have a solution.

Answer 1

From the graph provided, it can be observed that the lines representing the equations y = 12(15x + 6.8) and y = 5(4 + 0.7x) intersect at the point (4.15, 34.525). Therefore, the solution to the equation 12(15x + 6.8) = 5(4 + 0.7x) is x = 4.15.