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Chapter 2: Q18. (page 32)

Solve each system by the method of addition or subtraction.

19=5x+2y

1=3x-4y


Short Answer

Expert verified

The solution of given system of equations is x=3, y=2.

Step by step solution

01

Step 1. Description of step.

Multiply 19=5x+2yby 2.

2脳19=25x+2y

38=10x+4y

02

Step 2. Description of step.

Add 38=10x+4yand 1=3x鈭�4yand simplify.

38+1=10x+4y+3x鈭�4y

39=13x

13x=39

03

Step 3. Description of step.

Divide each side of the equation obtained in step 2 by to find the value of x.

13x13=3913

x=3

04

Step 4. Description of step.

Substitute 3for xinto 1=3x鈭�4yand simplify.

1=3脳3鈭�4y

1=9鈭�4y

4y=8

05

Step 5. Description of step.

Divide each side of the equation obtained in step 4 by to find the value of y.

4y4=84

y=2

Therefore, the solution of given system of equations is x=3, y=2.

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Most popular questions from this chapter

Rewrite each pair of conditionals as a biconditional.

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I鈥檒l try if you will.

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