Solve the nonlinear system of equations.

Anonym

Anonym

Answered question

2021-09-22

Solve the nonlinear system of equations.

2xy=0

2xy=4

Answer & Explanation

Malena

Malena

Skilled2021-09-23Added 83 answers

Given:
The nonlinear systems of equations are
2xy=0 (1)
2xy=4 (2)
Formula used:
Method of Substitution:
Choose a variable from the nonlinear system of equation. Solve the equation.
Substitute the result obtained from (a) into the other equation and solve the equation for the remaining variable.
Now, substitute the result obtained from (b) into (a) and solve the equation for the variable.
Calculation:
First, we should solve the equation (1) for y which gives y=2x.
Substitute the value of y in (2) and solve for x, we get
2x(2x)=4
4x2=4
x2=1
Using the method of factorization of quadratic equation, we get
x21=0
(x1)(x+1)=0
Equation the linear factors to zero, we get
x1=0 or x+1=0
x=1 or x=1
Now, we should evaluate the corresponding value of y for each value of x.
Substitute the value of x in (1) and solve for y, we get
y=2(1) or y=2(1)
y=2 or y=2
Hence, x=1,y=2 and x=1,y=2 are the required solutions of given nonlinear system of equations.
Conclusion:
Using substitution method, we can have obtained the solutions of the given system of equations given by x=1,y=2 and x=1,y=2.

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