Question

How to do alimenation method?

Answer 1

Answer:Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...

Step 2: Subtract the second equation from the first.

Step 3: Solve this new equation for y.

Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.

Answer 2

Example 1: Solve the system of equations by elimination

3x−yx+y=5=3

Solution:

In this example we will "cancel out" the y term. To do so, we can add the equations together.

3x−y=5x+y=3}−−−−−−−−−−Add equations4x=8

Now we can find: x=2

In order to solve for y, take the value for x and substitute it back into either one of the original equations.

x+y2+yy=3=3=1

The solution is (x,y)=(2,1).

Example 2: Solve the system using elimination

x+3y4x−y=−5=6

Solution:

Look at the x - coefficients. Multiply the first equation by -4, to set up the x-coefficients to cancel.

x+3y=−5multiply by -44x−y=6−−−−−−−−−−4x−12y=204x−y=6}−−−−−−−−−−−−−−Add equations−13x=26

Now we can find: y=−2

Take the value for y and substitute it back into either one of the original equations.

x+3yx+3⋅(−2)x−6x=−5=−5=−5=1

The solution is (x,y)=(1,−2).

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