Vanessa will graph the lines y = 1/3*x + 7 and y = 2x - 5. What is the sum of the x-coordinates of the two lines' x-intercepts? Express your answer as a decimal to the nearest tenth.
+128473 y = (1/3)x + 7 y = 2x - 5
To find the x intercepts, let y = 0 and solve both equations for x
0 = (1/3)x - 7 0 = 2x - 5
add 7 to both sides add 5 to both sides
7 = (1/3)x 5 = 2x
multiply both sides by 3 divide both sides by 2
21 = x 5/2 = x
So 21 + 5/2 = =
21 + 2.5 =
23.5
