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Chapter 4: Q3. (page 192)

Write a system of equations whose solution is

x=鈭�6530鈭�2354鈭�2y=3鈭�6430354鈭�2

Short Answer

Expert verified

The required system of equations is,

3x+5y=-6

4x-2y=30

Step by step solution

01

Step 1- Determine the approach that can be used

Using the Cramer鈥檚 rule for the value of x that isx=ebfdabcdand comparing it with the provided value of x can help.

02

– Form the system of equations by using the approach 

Use the obtained approach and determine the value of a, b, c, d, e and f.

The obtained values are a=3, b=5, c=4, d=-2, e=-6 and f=30.

Use the obtained values and form the equations in the form of ax+by=e and cx+dy=f.

3x+5y=-6

4x-2y=30

03

Step 3- Make the conclusion

As the obtained system of equations is representing the values which are in provided system of equations which means that the obtained equations are the required equations.

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