The equation 2x = 50 – 3x can be solved by graphing y = 2x and y = 50 – 3x.

Use the drop-down menu to complete the statement to explain why a graph can be used to solve this equation.

Line graph of 2 lines. X axis range: negative 25 to 25; y axis range: negative 50 to 50; first line crosses origin; second line crosses x, y axes, but not origin. First line extends from bottom left to top right quadrants with equation: y = 2 x. Second line extends from bottom right toward upper left quadrants with equation: y = 50 minus 3 x. Lines intersect here: (10, 20).
CLEAR CHECK
Step 1

When x = 10, both 2x and 50 – 3x equal

20