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Solve the system of equation3x+y=1-4x+y=15by substitution

Short Answer

Expert verified

The solution is-2,7.

Step by step solution

01

Step 1. Given information 

The given equations are:

3x+y=1⋯⋯1

-4x+y=15⋯⋯2

02

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

From equation 1, y=1-3x

Put in equation 2

⇒-4x+1-3x=15

03

Step 3. Solve for x

⇒-7x=15-1

⇒-7x=14

⇒x=-147

⇒x=-2

04

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

⇒-4-2+y=15

⇒8+y=15

⇒y=15-8

⇒y=7

05

Step 5. Checking solution 

Now we have x=-2and y=7

Put these values in equation 1

⇒3-2+7=1

⇒1=1

Also put these values in equation 2

⇒-4-2+7=15

⇒15=15

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