Mathematics High School

Find the solution to the system of equations:

7x-8y=-23

7x-7y=-14

Answers

Answer 1

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7x - 8y = -23

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7x - 7y = -14

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Related Questions

What does the rational form of the ratio a:b look like?

Answers

The rational form of a ratio is the ratio represented as a fraction (or quotient)

The rational form of the ratio a : b is a/b

The ratio is given as a : b (pronounced a ratio b)

This is properly represented as:

[tex]\mathbf{Ratio = a : b}[/tex]

To convert to rational form, means that we express the ratio as a fraction.

So, the ratio becomes

[tex]\mathbf{Ratio = \frac a b}[/tex] (pronounced a divided by b)

Hence, the rational form of the ratio a : b is a/b

Read more about rational forms at:

https://brainly.com/question/4087967

6(x + 1) = -2(3x + 9)​

Answers

Answer:

x=-2

Step-by-step explanation:

6(x + 1) = -2(3x + 9)​

Distribute 6 and -2.

6x+6=-6x-18

Move the variable to the left-hand side and move the constant to the right and change their signs.

6x+6x=-18-6

Collect like terms.

12x=-24

Divide both sides of the equation by 12.

x=-2

Hope this helps :)

Write a function that represents the relationship between X and y shown in the graph below

Answers

Answer:  y = 3x-10

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

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?

Answers

Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.

Hope I helped:)

can anyone help me solve this?

Answers

Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

Help me on this please

Answers

I don’t think that I can help you. But good luck on that. And I hope you have an amazing day!

find the sum of the first 10 terms of the geometric series 1+10+100+1000+...

(with solution)

PA HELP PO THANKSSS

Answers

Answer:

1111102111

Step-by-step explanation:

a = 1

r = 10

∑1x10^n = 1111102111

where n starts from 1 to 10

there are red and white roses in a vase 30% are red .there are 21 white roses.how many are there in total

Answers

Answer:

Step-by-step explanation:

21 roses are white so that is 70%

so that would be 70/100 and can reduce to 7/10

and the percent of red would be 3/10

so we can do 21 divided by 7 which equals 3

then we can do 3 x 3 because 3/10 which equals 9

then you do 21 + 9= 30

so the answer is 30.

What is s - -32 = 383 what does s =

Answers

Step-by-step explanation:

i dont know

How to improve your class multiplication skills.

Answers

Answer:

PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!

Solve the quadratic equation 2x + x-7 = 0
Give your answers to 2 decimal places.

Answers

[tex]\text{Its not a quadratic equation but the answer is 2.33}[/tex]

Lucy has ridden 45 miles of a bike course. The course is 60 miles long. What percentage of the course has Lucy ridden so far?

Answers

Answer:

a

Step-by-step explanation:

y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.

Answers

Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72

Reduce the fraction to lowest terms 16/24

Answers

Answer:

2/3 is the anwer.

Step-by-step explanation:

2/3 is the answer

Step by step explanation:

Find x, the answer is 5 but how do I get it?

Answers

Answer:

x = 5

Observe the parallelograms inside the shape. Their sides correspond to half the big triangle.

Step-by-step explanation:

2x + (3x + 2) + (4x + 1) = 48

9x + 3 = 48

x = 5

what is the answer to this question
6(3/4 + 2/3) - 4(1/6 + 1/2)

Answers

Answer:

5.83333333333

Step-by-step explanation:  there you go

How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle

Answers

Answer:

44

Step-by-step explanation:

In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.

Answer:

the answer would be eight

Step-by-step explanation: it would hit the first 90 degree angle when the hour is at twelve and the minutes at 15 then 12 and 45 then 3 and 30 and three and 12 then 6 and 15 and six and 30 then 9 and 30 then 9 and 12 .

the angle bisectors of a triangle intersect at the

Answers

Answer:

The incenter

Step-by-step explanation:

The three angle bisectors of the angles of a triangle meet in a single point, called the incenter

Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02​

Answers

The answer is (C)d=16.92

Answer: i think its D

Step-by-step explanation:

6. Three bunches of flowers can be bought for $9.48. Four bunches can be bought for $10.64. Which is the better buy?​

Answers

The better buy would be four bunches for $10.66 because each bunch of flowers would be $2.66 compared to $3.16 per bunch.

Claim: Fewer than 95​% of adults have a cell phone. In a reputable poll of 1170 ​adults, 90​% said that they have a cell phone. Find the value of the test statistic.

Answers

Answer:

From the information given, it is found that the value of the test statistic is z = -11.97.

At the null hypothesis, it is tested if the proportion is of at least 95%, that is:

At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:

The test statistic is given by:

In which:

is the sample proportion.

p is the value tested at the null hypothesis.

n is the sample size.

In this problem, we have that the parameters are:

.

Thus, the value of the test statistic is:

The value of the test statistic is z = -11.97.

Step-by-step explanation:

hope it helps

please mark brainliest

6. (4. 1) and (1, 4) are on the line

Answers

Answer: This is used by

Step-by-step explanation:

A 3-pack of light bulbs costs $3.27. What is the unit price

Answers

Answer:

0.91$

Step-by-step explanation:

HELP?!?!!! pleaseeee

Answers

Answer:

option 1. 3 juniors and 5 seniors

option 2. 4 juniors and 2 seniors

Step-by-step explanation:

3 + 5 = 8

8 is less than 9 and more than 4

4 + 2 = 6

6 is less than 9 and more than 4

HURRY for Brainlist

The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

Write an equation to represent the total cost for printing the shirts.

Question 1 options:

C = 21 + 40t


C = 21t - 40


C = 21t + 40


C = 21t

Answers

For the question in the photo:
y = 2.50x + 7.50

Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10

As you can’t ride 0.2 or 0.7 of a ride, for example, and you only have time for ten rides. Plus you have enough money to ride ten rides

For the drama club one:

C = 21t + 40

Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
Answer:

C = 21t + 40

Explanation:
Since the fee is 40 it’s +40 which in turn means doesn’t get affected by t hope this helps

3. If 480 movie tickets were sold on Saturday,
how many were child tickets?

Child= 15%
Adult= 75%
Senior=10%

Answers

72 child tickets.

360 Adult tickets.

40 senior tickets.

Hope this helps!!

:)

^sorry if I’m wrong!!^

Answer:

72 child

369 adult

48 senior

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Step-by-step explanation:

the scaling factor from 15 to 45 is 3.

we need to shoot the same to the width :

14.5 × 3 = 43.5 cm

35is what percent of 25

Answers

Answer: 140

Explanation: 35/25 = 1.4 = 140%

Would appreciate brainly <3

Answer:

Percentage Calculator: 35 is what percent of 25? = 140.

Step-by-step explanation:

hehe :)

what is the answer??????​

Answers

Answer:

C. 6.66

Solution:

20/3 can be expressed as 20 ÷ 3

20 ÷ 3 = 6.66...

we would have a result of an endless quotient.

Please help, thanks. I don't understand how to do this.​

Answers

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

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