Respuesta :

x+y=12
y=2x

That is your equation because the first one shows that x plus y equals 12. The second equation is correct because it shows that two times x equals your y.

Leaving your two numbers to be x=4 y=8

The numbers are x and y, and their sum is 12. The word "sum" indicates addition; you will add x and y.

There's your first equation: x + y = 12

The first number, x, is twice the second number, y. In other words, x times 2 is y.

There's your second equation: 2x = y

The system of equations is: x + y = 12; 2x = y

If you needed to solve the system, you would first plug 2x for y into x + y = 12 and solve for x:

x + y = 12

x + 2x = 12

3x = 12

x = 4

Then you'd plug 4 for x into either equation to solve for y:

x + y = 12

4 + y = 12

y = 8

The solution to the system is (4, 8).

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