All categories

2 years ago

What is the solution to the system of linear equations? y = 4x + 7 { y = 8x + 19

Mathematics

2 answers:

bekas [8.4K]2 years ago

8 0

Answer:

(- 3, - 5 )

Step-by-step explanation:

y = 4x + 7 → (1)

y = 8x + 19 → (2)

substitute y = 8x + 19 into (1)

8x + 19 = 4x + 7 ( subtract 4x from both sides )

4x + 19 = 7 ( subtract 19 from both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

substitute x = - 3 into either of the 2 equations and solve for y

substituting into (1)

y = 4(- 3) + 7 = - 12 + 7 = - 5

solution is (- 3, - 5 )

vova2212 [387]2 years ago

6 0

Answer:

(- 3, - 5 )

Step-by-step explanation:

It wont always be easy, but always try to do what ' s right!

In a world of worriers, be the warrior!

When nothing goes right, go left.

You might be interested in

4 Move the digits in 625,134 to create a new number.Move the 2 so it is worth 1_10as much.Move the 3 so it is worth 10 times as

Jet001 [13]

Answer:

452,316

Step-by-step explanation:

Why do you need a step by step, and i dont see how you would get one.

5 0

3 years ago

Please help it’s urgent :(

Nadusha1986 [10]

Answer: the answer is 0.04

Step-by-step explanation:

3 0

3 years ago

Suppose you have 60 red marbles and 40 blue marbles in a

andrew-mc [135]

Answer: The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$

Therefore, the probability of event E is given by

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.$

Thus, the required probability is 0.26.

6 0

3 years ago

PLZ answer this question tell me the date for this question 3 months after January

slavikrds [6]

Answer:

April

Step-by-step explanation:

bc you add 3 to 1 2 months after Jan is march 1 month is feb

7 0

3 years ago

Read 2 more answers

The larger of two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number,

klemol [59]

Answer:

one=12 sencond=1

Step-by-step explanation:

x=12

then,y=3

after that

first NUM,=12

second NUM=1

7 0

3 years ago