Solve using the elimination method.

Question

-4.5x+7.5y=9

-x+1.5y=5

A).___(Type an order pair.)

B). There are many solutions

C). No solutions

Answer 1

It's often useful to convert simple decimals to fractions.

 

Multiply the second equation by -5 to produce

 

  5x    - 7.5y = -25  then add to the first equation

 

-4.5x + 7.5y =   9

-------------------------

0.5x = -16

 

  x =-16/0.5  or  x = -16/(1/2)  = -32

 

32+1.5y=5 or (3/2)y = 5-32     y=2*(-27/3) = -18

 

 the solution is (-32,-18)

 

 

check -x+(3/2)y=5     32+(3)(-18/2) = 32-27 does = 5