Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12​

Answers

Answer 1

Answer:

(2 , -3)

Step-by-step explanation:

7x +2y = 8

-5x - 2  = -12

The only method that uses addition/subtraction is elimination

5(7x + 2y = 8)

7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)

(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*

35x + 10y = 40

-35x = 70

10y = -30

y = -3

substitute y into original equation

7x + 2 (-3) = 8

7x - 6 = 8

7x = 14

x = 2

(2 , -3 )

Answer 2

Answer:

Step-by-step explanation:

Add 5x to both sides to isolate -2:

-5x + 5x - 2 = -12 + 5x

-2 = -12 + 5x

Add 12 to both sides to isolate the 5x:

-2 + 12 = -12 + 12 + 5x

10 = 5x

Divide both sides by 5:

[tex]\frac{5x}{5} = 10 \div 5\\[/tex]

x = 2

Substitute this value into the first equation:

7x + 2y = 8

7(2) + 2y = 8

14 + 2y = 8

Subtract 14 from both sides:

14 - 14 + 2y = 8 - 14

2y = -6

Divide both sides by 2:

2y ÷ 2 = -6 ÷ 2

y = -3

So the coordinate set is:

(2, -3)

Hope this helps!


Related Questions

laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?

Answers

Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.

Answers

Step-by-step explanation:

Given function:

f(x) = x

The transformation of f(x) is g(x):

g(x) = f(-2/3x) = -2/3x

The graph of g(x) is attached below

If you bought 12.6 gallons of gasoline as $1.20 per gallon, how much did the gasoline cost?

Answers

Answer:

15.12$

Step-by-step explanation:

Gallons = 12.6

Cost = $1.20

Gasoline Cost = ??

12.6 ×1.20

=15.12

Hence, gasoline will cost 15.12 $

pls mark me as brainliest! :D

Please help!!!!!!!!!!!!!

Answers

Answer:

can you also send a graph that might help rn

Step-by-step explanation:

Which of the ratios below has a unit rate of 5?

Answers

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

Natalie is graphing point T at (1,8). should she moves to the right 8 units or up 8 units? Explain

Answers

Answer:

move 1 to the right and 8 units up

Step-by-step explanation:

Solve the Equation [tex]\frac{5}{2}[/tex] · X = 1

Answers

[tex]\dfrac 52 \cdot x = 1\\\\\implies 5x = 2\\\\\implies x = \dfrac 25[/tex]

Answer:

5/2

Step-by-step explanation:

What is (16x+9)+(−9x−5) ?

Answers

the awnswer is 11 hope it helps

The mean of 16, X, 3, 14,57 is 22. Find
Х

Answers

Answer:

20

Step-by-step explanation:

Given,

The mean of 16, X, 3, 14, 57 is 22.

Therefore,

(16+X+3+14+57)/5 = 22

(16+X+3+14+57) = 110

(90+X) = 110

X = 110-90

X = 20

The value of x will be 20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mean of set 16, X, 3, 14, 57 is 22.

Now,

Since, The mean of 16, X, 3, 14, 57 is 22.

Hence, By definition of mean we get;

⇒ 16 + X + 3 + 14 + 57 / 5 = 22

Solve for x as;

⇒ 90 + X / 5 = 22

⇒ 90 + X = 22 × 5

⇒ 90 + X = 110

⇒ X = 110 - 90

⇒ X = 20

Thus, The value of x will be 20.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

if you subtract 15 from a number and multiply by-6, the result is -54. What is the number?​

Answers

Answer:

24

Step-by-step explanation:

You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.

Answer:

the number is -5.7

Step-by-step explanation:

do everything in reverse operations,

-54 divided by -6= 9.3

9.3-15= -5.7

For proof you can do it yourself on a calculator.

Which equations are equivalent?

1. 2(6x+15-5x)+4=40

2. 40=2(15-x)+4

3. 12x+30-10x+4+40

A- 1 & 2

B- 2 & 3

C- 1 & 3

D- None of the equations are equivalent

Answers

Answer:

B

Step-by-step explanation:

a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3

Answers

Answer:

he would do 9 weeks of school

Step-by-step explanation:

count by fives

T
Зл
Solve for the interval <<
2
2
3. 2 cos? 0-5 cos e = 3
(it put it in wrong so i put a picture of the question)

Answers

Answer:

540 g m/s.

Step-by-step explanation:

PLEASE HELPPPP !! Which points have positive y coordinates?
A) A and F
B) A and B
C) F and H
D) B and F

Answers

B is the correct answer

Do number 12 on the pic

Answers

Answer:

  $21.83

Step-by-step explanation:

The amount spent will be the difference between the starting balance and the ending balance:

  18.53 -(-3.30) = 18.53 +3.30 = 21.83

You spent $21.83 on lunch this week.

write each power as a product of the same factor. Then find the value. 4^4

Answers

Answer:

256

Step-by-step explanation:

4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256

All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220

Answers

Answer:

1225

350/2=175

175 x 7 = 1225

0.000456 in scientific notation (Please answer fast this is on my final math exam!)

Answers

Answer:

0.000456 in scientific notation

= 4.56 × 10-4

Step-by-step explanation:

Can I have brainliest?

0.000456 in scientific notation is 4.56 × 10-4

7. Write an equation for the line in slope- intercept form ​

Answers

Answer:

y equals -2x - 3

Step-by-step explanation:

hope it helps

(would appreciate mark brainliest)

Jacob has a headache. He can't stand long lists. "Can you repeat that again?" he asks. "It's easy. Name a number that is greater than 10, less than 20, is a multiple of 7, and FINALLY is a factor of 42," Replies Eric.

Answers

i think it would be 14. greater than 10 and less than 20. 42/3 is 14 and 7 times 2 is 14

Answer:

Well here are the constraints given to us here

Lets make this number “x”

x > 10

x< 20

7x

X = 1, 2, 6, 7, 21, 42

So with all this we can come up with this

10 < 7x < 20 = 1, 2, 3, 6, 7, 14, 21, 42

So lets cut this down a bit

It’s gotta be a multiple of 7 so we can get rid of 3 of the solutions

It can be 7, 14, 21, 42

Now it has to be more then 10 but less then 20

So that gets rid of everything except 14

14 is your answer

Solve the equation or inequality. t/3+t/2−350=270

Answers

Answer:

t=744

Step-by-step explanation:

t/3+t/2-350=270 add 350 on both sides

t/3+t/2=620 convert both fractions containing t into a fraction with a common base

2t/6+3t/6 = 620 add the fractions containing t

5t/6=620 factor out the 5

5*(t/6)=620 divide both sides by 5

t/6=124 multiply both sides by 6 (note, you could have just divided 620 by 5/6 on both sides, or multiplided both sides by 6/5)

t=744

Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5 percent commission on all her sales. Her pay is given by the formula below.

P = $6h + $0.05k

In this formula, h is the number of hours worked, and k is the dollar amount of sales. Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total pay for the week?

Answers

Answer:

$351.00

Step-by-step explanation:

Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.

Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the dollar amount of sales. Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.

We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.

Hopefully this helped a bunch! And tell me if you need any further assistance. ( :

Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.

(help with the circled ones)

Answers

Answer:

the answer for (9squared divided by 3) - ( 3 x 5 ) = 12

Step-by-step explanation:

(9squared divided by 3) - ( 3 x 5 ) = 12

9x9 = 81

81 ÷ 3 = 27

27 - (3x5)

3 x 5 = 15

27 - 15 = 12

so it goes in the 12 box

4squared - ( 2 x 3 )

4squared = 4 x 4

4 x 4 = 16

16 - (2 x 3)

2 x 3 = 6

16 - 6 = 10

so it goes in the 10 box

Identify if the table below shows a proportional relationship.
x
y
1
5
02
2
.
7
5
13
Proportional
Not Proportional

Answers

Answer:

i know answer i heard some were i think

A number, X, rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answers

The answer is xyz because the answer is

(7-3t)-5(1.6t+5) please help me

Answers

Answer:

5t - 18

Step-by-step explanation:

to much to type but that's the answer to your question

Please help meeeee please please c

Answers

Answer:

the item would cost $9000

Math and Science If 7 giant solar power

plants generate 1.3 gigawatts (GW) of

energy to power 900,000 homes, how

many gigawatts can 21 giant solar plants

generate?

Answers

Answer:

Step-by-step explanation:

multiply everything by three to get your answer

Factor
10x + 100x + 250

Answers

10(11x+25)
Is the answer

sharon ate 2 pieces of pie. if this was 25% of the whole pie, how many pieces were there were originally.

Answers

Answer:

8

Step-by-step explanation:

25 divided by 2 is 12.5.

100 divided by 12.5 is 8

Answer:

8

Step-by-step explanation:

2 is 25% so, 2 times 2 is 4

4 is 50% so, 2 times 3 is 6

6 is 75% so, 2 times 4 is 8

8 is 100% of the pie

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