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Chapter 5: Q 89. (page 611)

Solve the system of equation2x+y=5x-2y=-15by substitution

Short Answer

Expert verified

The solution is-1,7

Step by step solution

01

Step 1. Given information 

The given equations are:

2x+y=5鈰�鈰�1

x-2y=-15鈰�鈰�2

02

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

From equation 1, y=5-2x

Put in equation 2

鈬�x-25-2x=-15

03

Step 3. Solve for x

鈬�x-10+4x=-15

鈬�5x=-15+10

鈬�5x=-5

鈬�x=-55

鈬�x=-1

04

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

鈬�-1-2y=-15

鈬�-2y=-14

鈬�y=-14-2

鈬�y=7

05

Step 5. Checking solution  

Now we have x=-1andy=7

Put these values in equation 1

鈬�2-1+7=5

鈬�5=5

Also put these values in equation 7

鈬�-1-27=-15

鈬�-15=-15

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