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Chapter 5: Q 88. (page 611)

Solve the system of equationx+2y=-12x+3y=1by substitution

Short Answer

Expert verified

The solution is5,-3

Step by step solution

01

Step 1. Given information 

The given equations are:

x+2y=-1鈰�鈰�1

2x+3y=1鈰�鈰�2

02

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

From equation 1, x=-1-2y

Put in equation 2

鈬�2-1-2y+3y=1

03

Step 3. Solve for y

鈬�-2-4y+3y=1

鈬�-y=1+2

鈬�-y=3

鈬�y=-3

04

Step 4. Substitute value of y from step 3 in equation 1

鈬�x+2-3=-1

鈬�x-6=-1

鈬�x=-1+6

鈬�x=5

05

Step 5. Checking solution  

Now we have x=5andy=-3

Put these values in equation 1

鈬�5+2-3=-1

鈬�-1=-1

Also put these values in equation 2

鈬�25+3-3=1

鈬�1=1

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