Diego is thinking of two positive numbers. He says, "If we triple the first number and 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 is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.

x = 8

y = 5

Step-by-step explanation:

Let

x and y = the two positive numbers

a. 3x + 2y = 34 (1)

b. 1/2x + 2y = 14 (2)

Solve the simultaneous equation

3x + 2y = 34 (1)

1/2x + 2y = 14 (2)

Subtract (2) from (1)

3x - 1/2x = 34 - 14

6x-x/2 = 20

5/2x = 20

x = 20 ÷ 5/2

= 20 × 2/5

= 40/5

= 8

x = 8

Substitute x = 8 into (1)

3x + 2y = 34 (1)

3(8) + 2y = 34

24 + 2y = 34

2y = 34 - 24

2y = 10

y = 10 / 2

= 5

y = 5

Diego's two numbers are 8 and 5 respectively

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

answer: huh

step-by-step explanation: