Solving Linear Systems by Using Linear Combination~!*!

How 2 Solve Equation By Using Linear Combination:
Step #1: List the two equations you are given. Equation #1: 2x-4y=13
Equation #2: 4x-5y=8		  

Step #2: Multiply the Equation #1 by -2 so
that the x-coefficients differ only in sign.

 2x-4y=13 x -2
-4x+8y=-26
4x-5y=8		  
Step #3: Add the revised equations and
solve for y. To do this, you must divide by 3.		 3y=-18
y=-6		  
Step #4: Substitute the value of y into one
of the original equations. 		Write Equation 1- 2x-4y=13
Substitute -6 for y- 2x-4(-6)=13
Simplify- 2x+24=13		  
Step #5: Solve for x. x= -(11/2)
  

*The Solution is (-11/2,-6)

  

 

 

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