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The sum of two numbers is 3. The larger number minus twice the smaller number is zero. Find the numbers.

User Heypiotr
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Final answer:

To find the two numbers, we can set up a system of equations. The solution is x = 2 and y = 1.

Step-by-step explanation:

To solve for the two numbers, let's set up a system of equations:

First, we know that the sum of the two numbers is 3, so we can write the equation as:

x + y = 3

Next, we are given that the larger number minus twice the smaller number is zero, so we can write the equation as:

x - 2y = 0

To find the solution, we can use the method of substitution. We solve one equation for one variable and substitute it into the other equation. Solving the first equation for x gives us:

x = 3 - y

Substituting x in the second equation, we get:

3 - y - 2y = 0

Combining like terms:

-3y + 3 = 0

Subtracting 3 from both sides:

-3y = -3

Dividing both sides by -3:

y = 1

Substituting this value of y back into the first equation, we get:

x + 1 = 3

Subtracting 1 from both sides:

x = 2

So, the two numbers are 2 and 1.

User Dongwook
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