Question

Double the second number, the sum is 34."

a. Write an equation that represents this clue. Then, find two possible pairs of
numbers Diego could be thinking of.
b. Diego then says, "If we take half of the first number and double the second, the
sum is 14."
Write an equation that could represent this description.
c. What are Diego's two numbers? Explain or show how you know. A coordinate
plane is given here, in case helpful.
20
18
16
14
12
second number
10
8
6
4
2
2 4 6 8 10 12 14 16 18 20
first number

Answer 1

First number is the answer

Answer 2

a.) 3x+2y=34 is the equation. 2 pairs could be 10,2 and 8,5.

b.) .5x+2y=14

c.) 8,5

Explanation:

because both 8 and 5 work in both equations 3(8)+2(5)=34

.5(8)+2(5)=14