Question

{x+y=7 {xy=12 помогите решить систему уровнений.

Answer 1

{x= 7-y
{xy=12
{x=7-y
{7y-y^2-12=0
x=7-y
y1=3 y2=4
x1=4 x2=3

Answer 2

System of Equations

To solve the system of equations x + y = 7 and xy = 12, we can use various methods such as substitution, elimination, or graphing. Let's solve it using the substitution method.

Substitution Method

1. Solve one equation for one variable in terms of the other variable. Let's solve the first equation for x: x = 7 - y.

2. Substitute the value of x in the second equation: (7 - y)y = 12.

3. Simplify and solve for y: 7y - y^2 = 12.

4. Rearrange the equation to form a quadratic equation: **y^2 - 7