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Chapter 5: Q 77. (page 611)

Solve the system of equation2x+3y=3y=-x+3 by substitution

Short Answer

Expert verified

The solution is6,-3.

Step by step solution

01

Step 1. Given information

The given equations are:

2x+3y=3鈰�鈰�1

y=-x+3鈰�鈰�2

02

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

鈬�2x+3-x+3=3

03

Step 3. Solve for x

鈬�2x-3x+9=3

鈬�-x=3-9

鈬�-x=-6

鈬�x=6

04

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

鈬�y=-6+3

鈬�y=-3

05

Step 5. Checking solution

Now we have x=6and y=-3

Put these values in equation 1

鈬�26+3-3=3

鈬�3=3

Also put these values in equation 2

鈬�-3=-6+3

鈬�-3=-3

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