jess14e jess14e
  • 07-12-2014
  • Mathematics
Answered

How do I solve for x in the two equations below using substitution.
4x-2y=4
8x+2y=20

Answer :

naǫ
naǫ naǫ
  • 07-12-2014
[tex]4x-2y=4 \\ 8x+2y=20 \\ \\ \hbox{from the 1st equation:} \\ 4x-2y=4 \\ -2y=-4x+4 \\ y=2x-2 \\ \\ \hbox{substitute 2x-2 for y in the 2nd equation:} \\ 8x+2(2x-2)=20 \\ 8x+4x-4=20 \\ 12x=24 \\ x=2 \\ \\ y=2 \cdot 2-2 \\\ y=4-2 \\ y=2 \\ \\ \hbox{the answer:} \\ x=2 \\ y=2[/tex]
Answer Link
craigc456
craigc456 craigc456
  • 07-12-2014
4x-2y=4
8x+2y=20

12x=24
x=24/12
x=2

sub x into 8x+2y=20
8(2)+2y=20
16+2y=20
2y=20-16
2y=4
y=4/2
y=2

solution (2,2)

check
4x-2y=4(2)-2(2)=4
8x+2y=8(2)+2(2)=16

hope this helps

Answer Link

Other Questions

Is three fourths equal to five sixths
Controls given to one branch of government to limit the power of another branch are known as
Find the value of W if ALW A8m2 and L4m PLEASE HELP
Market speculation resulted in which of the following a Stocks became overvalued c People were afraid to withdraw money from the market b Stocks became underval
The amount of energy entering an ecosystem from the Sun is equal to the amount of energy used by organisms plus the amount of energy lost as heat
why are the vector quantities magnitude and direction
The sum of 2a and 3b
Kia is doing an experiment in science lab She is given a beaker containing 100 g of liquid The beaker has markings on the side for measuring volume The water co
Explain your answer Simplify the difference 4w2 7w 6 8w2 2w 3 Choose one answer a 4w2 9w 3 b 12w2 9w 3 c 4w2 5w 9 d 12w2 5w 9
what is the area of a shape that has the lengh of 10 cm and the height of 5cm