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Solve the system of equation2x+5y=1y=13x-2by substitution

Short Answer

Expert verified

The solution is3,-1.

Step by step solution

01

Step 1. Given information 

The given equations are:

2x+5y=1⋯⋯1

y=13x-2⋯⋯2

02

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

⇒2x+513x-2=1

03

Step 3. Solve for x

⇒2x+53x-10=1

⇒6x+5x3=1+10

⇒113x=11

⇒x=3311

⇒x=3

04

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

⇒y=133-2

⇒y=1-2

⇒y=-1

05

Step 5. Checking solution 

Now we have x=3and y=-1

Put these values in equation 1

⇒23+5-1=1

⇒1=1

Also put these values in equation 2

⇒-1=133-2

⇒-1=-1

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