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Chapter 5: Q. 73 (page 611)

In the following exercises, solve the systems of equations by substitution.
x鈭�2y=鈭�52x鈭�3y=鈭�4

Short Answer

Expert verified

The solution set is (7,6).

Step by step solution

01

Step 1. Given Information

In the following exercises, we have to solve the systems of equations by substitution.
x鈭�2y=鈭�52x鈭�3y=鈭�4

02

Step 2. Solving the equation x−2y=−5 for the variable x.

Add2yonbothsidex鈭�2y+2y=鈭�5+2yx=鈭�5+2y

03

Step 3. Putting the value of x in the equation 2x−3y=−4.

2(鈭�5+2y)鈭�3y=鈭�4鈭�10+4y鈭�3y=鈭�4鈭�10+y=鈭�4Add10onbothside鈭�10+y+10=鈭�4+10y=6

04

Step 4. Putting the value of y in the equation x=−5+2y.

x=鈭�5+2脳6x=-5+12x=7

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