Problem

Solve the following system of equations.
{y+x=73x214xy=5

If there is more than one solution, enter additional solutions with the "or" button If there is no real solution, use the "No solution" button.
(x,y)=(ID,D
 믐 믐 

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Answer

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Answer

The solutions to the system of equations are (1.33,8.33) and (3,10).

Steps

Step 1 :The system of equations is a combination of a linear equation and a quadratic equation.

Step 2 :To solve this system, substitute the expression for y from the first equation into the second equation. This will give a quadratic equation in terms of x.

Step 3 :Solve the quadratic equation using the quadratic formula to find the solutions for x.

Step 4 :Substitute the solutions for x back into the first equation to find the corresponding values of y.

Step 5 :The solutions to the system of equations are (1.33,8.33) and (3,10).

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