MATHEMATICS HIGH SCHOOL

Solve the following system of equations.-2x + y = 1
-4x + y = -1

A) (3,1)
B) (-1,3)
C) (-1,-3)
D) (1,3)

Answers

Answer 1

Answer:

Hi Brainiac

-2x+y=1

-4x+y=-1

We need to solve -2x+y=1 for y

Now let's start by adding 2x to both sides

-2x+y+2x=1+2xy=2x+1

Substitute 2x+1 for y in -4x+y=-1

-4x+y=-1

-4x+2x+1=-1

-2x+1=-1

Add -1 to both sides

-2x+1-1=-1-1

-2x=-2

Now divide both sides by -2 so we can fine the value for x

-2x/-2= -2/-2

x=1

The last step is to substitute 1 for x in y=2x+1

y=2x+1

y=(2)(1)+1

y= 2+1

y= 3

Answer : D , (1,3)

Good night :)

Related Questions

Convert 3.2 repenting decimal into a fraction
The tires on Miguel's bicycle have a diameter of 28 inches. How many feet has Miguel traveled when the tires complete 15 revolutions? Use 3.14 for π . Round to the nearest tenth of a foot if necessary. ft
50% of all the cakes Lucy bakes that week were party cakes: one fifth were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes ?
A ladder is 95 inches tall. How tall is it in feet and inches
Find dy/dx if y= (1+x)e^x^2

Chance had 48 cents. his mom gave him 7 dollars. how much money does chance have now?

Answers

$ .48 + $7.00 = $7.48

Final answer:

Chance has $7.48. This was calculated by converting the dollars that his mom gave him into cents, adding it to the cents he already had, and converting it back into dollars and cents.

Explanation:

To answer this question, it is important to firstly convert the measure of money to the same unit for easier addition. Chance had 48 cents, which is less than 1 dollar, and his mom gave him 7 dollars.

Since 1 dollar is equal to 100 cents, 7 dollars will be equal to 700 cents.

Now, we can add up the cents to find out how much total money Chance has: 48 cents that Chance originally had plus 700 cents from his mom equals 748 cents,

Converting cents back into dollars (as 1 dollar = 100 cents), Chance has 7 dollars and 48 cents (or $7.48).

Learn more about Dollar-cent conversion and addition here:

brainly.com/question/35715004

#SPJ2

3x^2+13x+10=0 please help

Answers

I will use the quadratic equation to solve this:
x= -b +(or minus, both) √b² + 4ac
--------------------------------------------
2a
So, your numbers would be: a = 3
b = 13
c = 10
Then, solve: x = -13 +(or minus, both) √169 + 120
--------------------------------------------------
6
= -13 +(or minus, both) 17
------------------------------------
6
So, first do the plus: -13 + 17
--------------
6
= 2/3
Then do the minus: -13-17
------------
6
= 5

Your answer is: 2/3 and 5
( These problems always have two answers)

The answer and explanation is in the attachment.

How are fraction and decimals related

Answers

They are both parts of a whole

Fractions and decimals are simply two different ways of expressing a number. A fraction expresses a number in the form of two other numbers, where the top number in the fraction is being divided by the bottom number. ie. if the fraction was written as x/y, then the fraction would be expressing the number x divided by the number y. A decimal, on the other hand is an expression of a number in a more traditional form, in one single line of numbers, with a decimal point preceeding all of it. To convert a fraction to a decimal, we do what the fraction says, in that we divide the top number by the bottom number. For example, the fraction 3/4 (3 quarters) = 0.75, as 3 divided by 4 = 0.75. The reason we use fractions and dont just make everything a decimal, is that sometimes it is easier to calculate something or express a number using a fraction. For example, when working with irrational numbers, the decimal is actually infinite, so it is impossible to write as a decimal and be 100% accurate, however if written as a fraction, it can be expressed exactly. For example the fraction 1/3 = 0.333333 where the 3s continue forever :))

There are 77 students in the student council. The ratio of girls to boys is 7:4. How many girls are in the student council?

Answers

77 students
G : B
7 : 4

11 units (7+4) = 77
1 unit = 7

7 units = 49

so there are 49 girls in the student council

hope this helped :)

- A company produces 7,200 gallons ofbottled water each day. The company puts
8 one-gallon bottles in each carton. How.
many cartons are needed to hold all the
one-gallon bottles produced in one day?
Write ur equation plssssss FASTTTSTSTSTSTSSTTSTSSTTS

Answers

Answer:

Number of gallons of water produced each cay by the company = 7200 gallons

Number of 1 gallon bottles put in a carton = 8

Number of cartons needed to hold all the 1 gallon bottles in a day = 7200/8

= 900

So 900 cartons are required to hold all the one gallon bottles produced by the company in a day. I hope the procedure is clear enough for you to understand. It is also important to carefully look at all the details that are provided in the question.

Answer:

900 cartons are needed

Step-by-step explanation:

7200/8=900

(-2,0) and (1,5)
this is a slope question