How do you solve 7/4x – 5/2y = 2 and 1/4x + 7/2y = 8?

1 Answer

Answer:

#x=4#
#y=2#

Explanation:

From the give #7/4x-5/2y=2# and #1/4x+7/2y=8#

Multiply both equations by 4 to get rid of the fractions
so that the two equations become

#7x-10y=8" " "#call this the 1st equation
#x+14y=32" " "#call this the 2nd equation

Multiply again the 2nd equation by 7 to make it

#7x+98y=224#call this the new 2nd equation

We will use now the new 2nd and the 1st respectively

#7x+98y=224#
#7x-10y=8" " "#

Perform subtraction to obtain

#108y=216#

then #y=2#

Solve for x now using the old second equation #x+14y=32#
and #y=2#

#x+14y=32#
#x+14(2)=32#
#x=32-28#
#x=4#

Our solution is #x=4# and #y=2#

God bless...I hope the explanation is useful..