One number added to twice another number is 13. Four times the first number added to twice the other number is -2. What are the numbers?

Let's call the first number x, and the second number y. Putting what you have said into equation form:
x + 2 y = 13 4 x + 2 y = − 2
Subtracting one equation from another gives:
[x+2y=13 \-(4x+2y=-2)
\\-3x=15 \x=-5]
If x = -5,
x + 2 y = 13 ( − 5 ) + 2 y = 13 2 y = 18 y = 9
So the first number is -2, the second number is 9

Answered by ollieboyne | 2024-06-10

The first number is -5 and the second number is 9, which satisfy the given equations. By substituting and simplifying, we found the values through a step-by-step approach. This method involved solving a system of linear equations simultaneously.
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Answered by ollieboyne | 2024-12-26