Question

Use the graph and the following equations to select the choice that best describes

the solution:
y = 2x and y = x + 20.

Answer 1

(40, 20)

Explanation:

first substitute 2x for y in y = x + 20: 2x = x + 20

flip the equation: x + 20 = 2x

subtract 20 from both sides: x + 20 - 20 = 2x - 20

simplify: x = 2x - 20

subtract 2x from both sides: x - 2x = 2x - 2x - 20

simplify: -x = -20

divide both sides by -1: -x/-1 = -20/-1

simplify: x = 20

substitute 20 for x in y = 2x or y = x + 20: y = 20 * 2 or y = 20 + 20

x = 20 y = 40

(40, 20)

Answer 2

(20,40)

Explanation:

First one: y=2x

y=40

x=20

40=2(20)

40=40 true

Second one: y=x+20

y=40

x=20

40=20+20

40=40 true

therefore the answer is (20,40)