Question

1.x + y = 7,xy = 12;​

Answer 1

Объяснение:

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Answer 2

To solve this system of equations:

1. x + y = 7
2. xy = 12

We can use the substitution method. First, solve equation (1) for one of the variables. Let's solve for x:

x = 7 - y

Now, substitute this expression for x into equation (2):

(7 - y)y = 12

Now, expand and simplify:

7y - y^2 = 12

Rearrange the equation to set it equal to zero:

y^2 - 7y + 12 = 0

Now, factor this quadratic equation:

(y - 3)(y - 4) = 0

Setting each factor equal to zero:

1. y - 3 = 0 => y = 3
2. y - 4 = 0 => y = 4

Now that we have two possible values for y, we can find the corresponding values of x using the equation x = 7 - y:

For y = 3: x = 7 - 3 = 4

For y = 4: x = 7 - 4 = 3

So, there are two solutions to the system of equations:

1. x = 4, y = 3
2. x = 3, y = 4