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Chapter 5: Q 81. (page 611)

Solve the system of equation3x-2y=6y=23x+2by substitution

Short Answer

Expert verified

The solution is6,6.

Step by step solution

01

Step 1. Given information 

The given equations are:

3x-2y=6鈰�鈰�1

y=23x+2鈰�鈰�2

02

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

鈬�3x-223x+2=6

03

Step 3. Solve for x

鈬�3x-43x-4=6

鈬�9x-4x3=6+4

鈬�53x=10

鈬�5x=30

鈬�x=6

04

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

鈬�y=236+2

鈬�y=4+2

鈬�y=6

05

Step 5. Checking solution 

Now we have x=6andy=6

Put these values in equation 1

鈬�36-26=6

鈬�6=6

Also put these values in equation 2

鈬�6=236+2

鈬�6=6

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