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Chapter 5: Q 90. (page 611)

Solve the system of equation4x+y=10x-2y=-20by substitution

Short Answer

Expert verified

The solution is0,10.

Step by step solution

01

Step 1. Given information 

The given equations are:

4x+y=10鈰�鈰�1

x-2y=-20鈰�鈰�2

02

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

From equation 1, y=10-4x

Put in equation 2

鈬�x-210-4x=-20

03

 Step 3. Solve for x

鈬�x-20+8x=-20

鈬�9x=-20+20

鈬�9x=0

鈬�x=0

04

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

鈬�0-2y=-20

鈬�y=-20-2

鈬�y=10

05

Step 5. Checking solution  

Now we have x=0andy=10

Put these values in equation 1

鈬�40+10=10

鈬�10=10

Also put these values in equation 2

鈬�0-210=-20

鈬�-20=-20

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