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Chapter 5: Q 87. (page 611)

Solve the system of equationx+3y=13x+5y=-5by substitution

Short Answer

Expert verified

The solution is-5,2.

Step by step solution

01

Step 1. Given information 

The given equations are:

x+3y=1鈰�鈰�1

3x+5y=-5鈰�鈰�2

02

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

From equation 1, x=1-3y

Put in equation 2

鈬�31-3y+5y=-5

03

Step 3. Solve for y

鈬�3-9y+5y=-5

鈬�-4y=-5-3

鈬�-4y=-8

鈬�y=-8-4

鈬�y=2

04

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

鈬�x+32=1

鈬�x+6=1

鈬�x=1-6

鈬�x=-5

05

Step 5. Checking solution  

Now we havex=-5 andy=2

Put these values in equation 1

鈬�-5+32=1

鈬�1=1

Also put these values in equation 2

鈬�3-5+52=-5

鈬�-5=-5

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