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Chapter 5: Q 93. (page 611)

Solve the system of equationy=2x-8y=35x+6by substitution

Short Answer

Expert verified

The solution is10,12.

Step by step solution

01

Step 1. Given information 

The given equations are:

y=2x-8⋯⋯1

y=35x+6⋯⋯2

02

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

⇒2x-8=35x+6

03

Step 3. Solve for x

⇒2x-35x=6+8

localid="1649176532530" ⇒75x=14

localid="1649176558563" ⇒7x=70

localid="1649176568889" ⇒x=10

04

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

⇒y=210-8

⇒y=20-8

⇒y=12

05

Step 5. Checking solution  

Now we have x=10andy=12

Put these values in equation 1

localid="1649176636088" ⇒12=210-8

localid="1649176644646" ⇒12=12

Also put these values in equation 2

localid="1649176731054" ⇒12=3510+6

⇒12=12

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