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Chapter 5: Q 84. (page 611)

Solve the system of equation-2x+y=10-x+2y=16by substitution

Short Answer

Expert verified

The solution is-43,223.

Step by step solution

01

Step 1. Given information 

The given equations are:

-2x+y=10鈰�鈰�1

-x+2y=16鈰�鈰�2

02

Step 2. Substitute value of y from equation 1 in equation 2

From equation 1,y=10+2x

Put in equation 2

鈬�-x+210+2x=16

03

Step 3. Solve for x

鈬�-x+20+4x=16

鈬�3x=16-20

鈬�3x=-4

鈬�x=-43

04

Step 4. Substitute value of x from step 3 in equation 2

鈬�--43+2y=16

鈬�2y=16-43

鈬�2y=48-43

鈬�2y=443

鈬�y=223

05

Step 5. Checking solution 

Now we havex=-43andy=223

Put these values in equation 1

鈬�-2-43+223=10

鈬�10=10

Also put these values in equation 2

鈬�--43+2223=16

鈬�16=16

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