Determine if (-1,2) is a
solution to the system
(2x + 5y = 8
(3x - 2y = 5

Answers

Answer 1

Answer:

Not a solution.

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\left \{ {{2x+5y=8} \atop {3x-2y=5}} \right.[/tex]

(-1, 2)

Step 2: Substitute and Check

Substitute:               [tex]\left \{ {{2(-1)+5(2)=8} \atop {3(-1)-2(2)=5}} \right.[/tex]Multiply:                   [tex]\left \{ {{-2+10=8} \atop {-3-4=5}} \right.[/tex]Combine:                 [tex]\left \{ {{8=8} \atop {-7=5}} \right.[/tex]

We see here that -7 ≠ 5. Therefore, (-1, 2) is not a solution of the systems of equations.


Related Questions

can someone find the x for -3x + 1 = 169

Answers

Answer:

x = -56

Step-by-step explanation:

-3x + 1 = 169

      -1       -1

----------------------

-3x = 168

Divide both sides by -3. 168/-3 = -56

x = -56

Answer:

Your answer is: x = -56

Step-by-step explanation:

Hope this helped : )

ASAP ,HELP ME PLS
Find the slope given these points:
(2,-4) & (3,1)
A. 5
B. -3
C. 3
D. -5

Answers

Answer:

A.

Step-by-step explanation:

The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?​

Answers

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.

Please help!!!!!!!!!!!
Find the measure of the exterior angle

Answers

Answer:

Im not sure but go with 24

c) 42°

exterior angle = sum of its opposite interior angles

Which means :-

[tex]x + 21 + 63 = 3x[/tex]

[tex]21 + 63 = 3x - x[/tex]

[tex]21 + 63 = 2x[/tex]

[tex]84 = 2x[/tex]

[tex]2x = 84[/tex]

[tex]x = 84 \div 2[/tex]

[tex]x = 42°[/tex]

Therefore , the correct option is :-

c) 42°

Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)

Answers

(0, -4)

this would be the y intercept because its lining up to the y axis of the plane.

Use the distance formula to find the distance, to the nearest tenth, from S(5, −4) to W(−3, 7).

Answers

Answer:

185

Step-by-step explanation:

distance formula is d=√((x_2-x_1)²+(y_2-y_1)²

so it would be d=[tex]\sqrt{(-3-5)^{2} + (7-(-4))^{2} }[/tex]

where we see [tex](7-(-4))^{2}[/tex] will turn into [tex](7+4)^{2}[/tex]

[tex](-3-5)^{2} =64[/tex]

[tex](7+4)^{2} =121[/tex]

64+121= 185

Hope this helps...sorry if i'm wrong.

What equation is graphed in this figure?

y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)​

Answers

Answer:

y - 5 = 3(x - 1)

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (0, 2) and (1, 5) is,

m = [tex]\frac{5-2}{1-0}[/tex] = 3

Now equation of the line passing through a point (1, 5) and slope = 3 will be,

y - 5 = 3(x - 1)

Option (4) is the answer.

Answer:

y−5=3(x−1)

Step-by-step explanation:

Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?

Answers

Answer:

8/5-12x

Step-by-step explanation:

-4(-2/5+3x)

Multiply each term inside the parentheses by -4

-4 * -2/5 + -4 * 3x

8/5-12x

Answer:

-1.6+12x

Step-by-step explanation:

First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x

i really really need help​

Answers

Answer:

with what? i can help you more than likely if you tell me what you need help with.

Step-by-step explanation:

i can help as well with anything

Alice drove 170 miles in 2.5 hours. At this rate, how far will she drive in 4 hours? miles

Answers

Answer:

She will drive 272 miles in 4 hours.

Step-by-step explanation:

How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …

3 mph


Please help!!!!

Answers

Answer:

Alex needs to walk for 45 minutes.

Step-by-step explanation:

2.25 / 3 = 0.75 hours

0.75 hours = 45 minutes

PROBLEM 1
Peter has many socks, all the same except that they are in three different colours. He is leaving to catch an early train to go on a business trip, and he does not want to wake his wife, so he packs in the
dark. He needs eleven pairs of socks, each sock in each pair the same colour. How many socks must he take from his drawer to be sure of achieving this?

Answers

Answer:

24 socks

Step-by-step explanation:

The given parameters are;

The number of different colors of socks = 3

Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario

After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table

Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11

Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.

what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?​

Answers

Answer:

what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver

Answer:

Step-by-step explanation:

On the 2nd equation, turn the slope the -3x. This creates two parralel lines.

Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.

What is the QUOTIENT of 16.8 and 4.4 ?

Answers

Answer:

3.81

Step-by-step explanation:

The answer is 3.18 I think

sum n=3 ^ infty (2n+5)
find the series shown​

Answers

Answer: Choice C) 11 + 13 + 15 + 17 + ...

=====================================================

Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

-------------------

Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

The right triangle ABC, shown below is reflected over the line y = -x. Where will the point C' be located?

Answers

Answer:

(4, -3)

Step-by-step explanation:

It says my answers need to be at least 20 characters long so I had to write this.

We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.

Answers

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67

What is an equation for the line that passes through (6,-5) and (-8,16)

Answers

Answer:

y=mx

Step-by-step explanation:

i think thats the equation am pretty sure tho

The product of a number x minus 5 and three less than twice x

Answers

Answer:

(x-5)(2x-3)

Step-by-step explanation:

key words:

product = multiplication

minus - subraction

x-5

and = first phrase times next phrase

less than = a number minus the number before the 'less than'

twice = 2 times a number

if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).

i hope this helped :))

An animal reserve has 24,000 elks. The population increases by 12% a year. How long until the population is equal to 96,000,000

Answers

Answer:33,325,000

Step-by-step explanation:95,976,000÷2.88=33,325,000

Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?

Bus A runs every 6 mins
Bus B runs every 8 mins

What bus can she catch and what time?

Answers

Answer:

every 8 mins

Step-by-step explanation:

bus b

At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days

Answers

Answer:

48s plus 12p - 18

Step-by-step explanation:

Answer:

Add 48 + 12 and Subtract the sum from 18 (14+12-18)

Step-by-step explanation:

Sorry if I'm confusing you ;(

Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?

Answers

Answer:

$133

Step-by-step explanation:

Let x = amount of money she had before she spent any money.

x - 29 - 29 - 29 - 15 = 31

x - 102 = 31

x = 133

Answer: She had $133.

Answer:

she had 133$

Step-by-step explanation:

Multiply 29$ by the amount of shirts and get 87$

then add 31$, the 15$ she spent on lunch, and add the 87$ and get 133$.

What is 7/8 x 4/5 divided by 7/20

Answers

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.

4/10 would be your answer to your question

*
ate: Find 8% of 40.
nt)

Answers

The answer is 3.2.
8 percent of 40 is 3.2

-2/5x=-5 What is this?

Answers

Answer:

25/2 or 12 1/2 or 12.5

Step-by-step explanation:

URGENT! 10 points
Solve for x then find DE

Answers

Answer:

14

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x+7+7=4x+2 simplify

Can someone please
Help w this?

Answers

Answer: The top one is x>=0 or x<3
The Middle one is x>-2 or x<2

The product of a number and is 3 Find the number.
Your answer​

Answers

the product of

-3 and -11/9 is 3(2/3)

Five times the sum of a number n and seven
Hint- you need parenthesis

Answers

5(n + 7) is the equation

The equation of the problem is [tex]5(n+7)[/tex]

The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.

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