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Solve the system of equation-x-12y=-12x-8y=-6by substitution

Short Answer

Expert verified

The solution is-2,0.25.

Step by step solution

01

Step 1. Given information 

The given equations are:

-x-12y=-1⋯⋯1

2x-8y=-6⋯⋯2

02

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

From equation 1x=1-12y

Substitute in equation 2

localid="1649347861698" ⇒21-12y-8y=-6

03

Step 3. Solve for y

⇒2-24y-8y=-6

⇒-32y=-8

⇒y=832

⇒0.25

04

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

⇒-x-120.25=-1

⇒-x-3=-1

⇒x=1-3

⇒x=-2

05

Step 5. Checking solution

As we know x=-2and y=0.25

Put these values in equation 1

localid="1649348056337" ⇒--2-120.25=-1

⇒-1=-1

Als put these values in equation 2

localid="1649348080137" ⇒2-2-80.25=-6

localid="1649348095034" ⇒-6=-6

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