Mathematics, 28.01.2020 22:01 jusicca1109

Hey guys me so this one is tricky and complex i appreciate if someone reaches out and . 2x+y=-14
7x-4y=-19 ok so far i took the second equation and added 4y to both sides which then resulted in 7x=4y-19 did i do something wrong?

Answers: 3

Show answers

Answers

Answer from: RIZGT500

You can certainly start out that way, but when you solve that equation for x, it's a little more complex than if you started with the other equation. I usually start with the most simple equation first. Let's take the first equation and solve for y... that will leave us without any fractions to deal with.

2x + y = -14
y = -14 - 2x

Now we have a y value and we can substitute it back into the other equation. So we will replace y in the second equation with (-14 - 2x).
That will leave us with just the x as a variable and we can solve for x.

7x - 4y = -19
7x - 4(-14 - 2x) = -19    multiply the -4 through the parentheses
7x + 56 + 8x = -19    combine like terms
15x + 56 = -19    subtract 56 from each side
15x = -75 divide each side by 15
x = -5

Now we have a value for x that we can substitute back into either of the original equations and then solve for y. I usually go with the easier equation, but it doesn't matter. Let's use the first one...

2x + y = -14
2(-5) + y = -14 multiply the 2 through the parentheses
-10 + y = -14    add 10 to each side
y = -4

So your ordered pair is

(-5, -4)

That is where the 2 lines are equal to one another, so that's the point where they they intersect.

Note*** You can start these problems with either equation and solving for either x or y... it doesn't matter. After you substitute the values into the other equation it will work out the same.

Answer from: Quest

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3. and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

Answer from: Quest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2:

(2 x^3 + 7 x^2 + (x + 4 x) + 2)/(x (x + 2))

x + 4 x = 5 x:

answer: (2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:30, user20061024

Given: ac and db are diameters. m∠3=

Answers: 1

continue

Mathematics, 21.06.2019 18:30, sherifour

Iwill give ! if m∠a=59 and m∠3=81°, what is m∠b? m∠b= _[blank]_°

Answers: 2

continue

Mathematics, 21.06.2019 22:00, afolmar2006

What is the solution to the system of equation graphed belowa.(0,-4)b.(2,5),1),-3)

Answers: 3

continue

Mathematics, 21.06.2019 22:00, MichealM7668

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Answers: 1

continue

You know the right answer?

Hey guys me so this one is tricky and complex i appreciate if someone reaches out and . 2x+y=-14