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1. The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers.
Question
1. The sum of twice a number and 4 times another number is 4. The difference of the
numbers is 5. Find the numbers.
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Mathematics
4 years
2021-07-30T15:36:55+00:00
2021-07-30T15:36:55+00:00 1 Answers
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Answer:
4, -1
Step-by-step explanation:
We can let x and y represent the two numbers. The first relation is …
2x + 4y = 4
The second relation is …
x – y = 5
Subtracting the second relation from half the first gives …
1/2(2x +4y) -(x -y) = 1/2(4) -(5)
3y = -3
y = -1
From the second relation, …
x = 5 +y = 5 -1 = 4
The two numbers are 4 and -1.