What would be the first step to slove the system of equations 2x-9y=6 and 4x-3y=-7

Answers

Answer 1

Answer: If there are choices, then you need to choose the correct choice, but if there are no choices, then one correct answer is to multiply the first equation by -2 and add it to the second equation to eliminate x and solve for y.

Answer 2

Answer: The first step varies depends on what method you want to use to solve the system of equations.
If it is me, my first step would be either doubling the first equation so the coefficients of x in both equations equal to each other, or tripling the second equation so the coefficient of y in both equations is set equal.

2x-9y=6
4x-3y=-7

3(second euation) =12x-9y=-7

second equation subtract the first equation
10x=-13
x=-13/10

Then we can plug x in any of the two original equations and solve for y which i got to be -19/15

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What is a composite number

Answers

a composite number is a number that has at least 2 (if you count 1) whole number factor(if you count 1 as a factor)

whole numbers are numbers like 1,2,3,4 but not including -2,-4,-5

factors are numbers that make up another number so
the factors of 6 are 1,2,3 because 1 times 2 times 3=6
3 is not composite because the factors are 1,3

A composite number is a number with more than 2 factors. For example, 10 would be considered a composite number because it has 4 factors which are 1, 2, 5, and 7.

13 would be an example of a number that's not composite because it only has 2 factors which are 1 and 13.

What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?A.
y = 3x + 4
B.
c.
D.
y= 3x - 14
y= 3x - 4
y=3x + 12

Answers

Answer:

A: y = 3x + 4

Step-by-step explanation:

A slope of 3 is given, so the co-efficient of x must be three

If you are going through point (-3, -5), then you must have a starting point.

Adding 3 to the y coordinate for every x value gives us 4.

This means that the equation must be adding 4 to x.

So, the answer is y = 3x + 4, or A.

zoey made 5 1/2 cups of trail mix for a camping trip. she wants to divide the trail mix into 3/4 cup servings. ten people are going on the camping trip, cam zoey make enough 3/4 cup servings so that each person on the trip has one serving. plz i need these answers asap on the pic. # 13, a., b., and c.

Answers

a.) Number of 3/4 cup servings in 5 1/2 cups = 5 1/2 / 3/4 = 11/2 / 3/4 = 11/2 x 4/3 = 44/6 = 7 1/3
Therefore, Zoey did not make enough 3/4 cup serving to go round everybody.

b.) For, every one to have a serving, we have 5 1/2 cups which we want to go round ten people, so each person should get 5 1/2 / 10 = 11/2 / 10 = 11/2 x 1/10 = 11/20.
So the serving should be 11/20 cup for every one to get serving.

c.) If she uses the 3/4 cup serving, then she will need 3/4 x 10 = 30/4 = 7 1/2 cups altogether.
Therefore, she will need to make extra 7 1/2 - 5 1/2 = 2 cups of trail mix.

10 * 3/4 = 30/4 = 15/2 = 7 1/2
7 1/2 > 5 1/2
a ) Zoey can`t make enough 3/4 cup servings.
b ) 5 1/2 : 10 = 11/2 : 10 = 11/2 * 1/10 = 11/20 cup servings
c ) She will need 7 1/2 - 5 1/2 = 2 cups of trail mix more.

Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is also five times Antonio’s age. How old is Sarah?

Answers

Let Sarah's age be s and Antonio's age be a.

According to your question,

2a + 3s = 34
s = 5a

substituting the value of s in eq. 1,

2a + 3(5a) = 34

= 2a + 15 a = 34

17a = 34

thus, a = 34/17 = 2

substituting the value of a is s,

s = 5(2)
= 10

Thus, Sarah's age is 10 years and Antonio's age is 2 years.

Answer:

sarah is 10

Step-by-step explanation:

Casey likes to run she runs an additional 1/4 mile each day. On the last day she ran 1 1/4 miles if she ran 1/2 mile on her first day for how many days has she been running

Answers

She ran for 10 days.
1/2 + 1/4 = 3/4 -->2nd day
4/4 -->3rd
5/4 -->4th
6/4 -->5th
7/4 -->6th
8/4 -->7th
9/4 -->8th
10/4 -->9th
11/4 -->10th

it will have to taker her 10 days to run

Is 1/3 more than 2/6

Answers

No they are equal, reduce 2/6 to get 1/3

They are equal to each other

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