How do I solve this using substitution? Please write down the steps too.
6x+5y=-16
y=7x+5

Answers

Answer 1

Answer: x = -1 and y = -2

Step-by-step explanation:

You are given two expressions that have a relationship. There are two ways to solve this problem, but I will be going over the easy way. I'm assuming you know how to solve for one variable such as x? Well we can put the y varaible from the first equation in terms of x, from the second equation. Ill show you what I mean:

6x + 5(7x + 5) = -16

I replaced y in the first one in terms of x, so that we can solve just for x.

6x + 35x + 25 = -16

41x +25 = -16

41x = -41

x = -1

Now simply find y by plugging the now known x value into either equation

y = 7(-1) + 5

y = -2

Answer 2

Answer:

x = -1

y = -2

(  -1, -2 )

Step-by-step explanation:

6x + 5y = -16

They gave us what "y" is and its....

y = 7x + 5

We substitute the "y" in the equation with this "y = 7x + 5

"

6x + 5y = -16

6x + 5(7x + 5) = -16

Now we need to use the distributive property (multiply what is in the parenthesis by "5")

6x + 5 * 7x + 5 * 5 = -16

6x + 35x + 25 = -16

Combine Like Terms ( 6x and 35x)

41x + 35 = -16

Subtract 25 on both sides

41x + 35 - 25 = -16 - 25

41x = -41

Divide by 41 on both sides to isolate the variable

41x/41 = -41/41

x = -1

Now that we have what "x" is (-1) we can use that to find out what "y" is.

y = 7x + 5

Substitute the x with -1

y = 7x + 5

y = 7(-1) + 5

y = -7 + 5

y = -2

x = -1

y = -2

( x, y )

( -1, -2 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!


Related Questions

The photography club has 28 members. There are 12 boys in the club.

What is the ratio of boys to girls in simplest form?


73

43

37

34

Answers

Answer:

3:4

Step-by-step explanation:

total ppl-boys=girls

28-12=16

boys to girls:

12:16

It simplifies to 3:4.

Kristy wrote down a decimal number that is greater than 0.76 but less than 0.82. Which number did Kristy write?

Answers

Answer:

Step-by-step explanation:

0.79

Find the area of the shaded part of circle Y.

Answers

Answer:

201.45 cm²

Step-by-step explanation:

The whole circle has an area of π(9)² cm², or 81π cm². The shaded part represents all of the circle except for the chunk swept out by sector XZ.

Sector XZ sweeps out 75°, which represents 75/360 of the whole circle, or, simplified, 15/72. That means the shaded area must represent the other 57/72. To find the area then, we can just multiply that fraction by 81π:

[tex]81\pi\cdot\frac{57}{72}=9\pi\cdot\frac{57}{8}[/tex]

Using π ≈ 3.14 and crunching the numbers out gives us a result of approximately 201.45 cm².

The polygons are similar. find the missing length. i will give brainliest to first correct answer! HELP

Answers

Answer:

The answer is 48, I hope this helps!

Step-by-step explanation:

would you like me to explain?

¿cual de ellos creen que se muestre en el dibujo​

Answers

Answer:

Step-by-step explanation:

si si

Giving all my points away if you guys can help me please :) !

Answers

Answer:

A, B, D

Step-by-step explanation:

A: when x=0 y= -8

B: the 3/4 is attached to the x making it the slope

C: vertical line test

D: vertical line test

E: we just said the slope was 3/4

F: see A

Answer:

A,B,D

Step-by-step explanation:

What is the price of $45 art set with 7% tax

Answers

Answer:

$48.15

Step-by-step explanation:

Take 45 and multiply it by 0.07 and you get 3.15. Add that number to 45 and you get 48.15 as your answer

HELP FAS, worth 20 points

Answers

Answer:

1. infinite solutions.

2. no solutions.

Step-by-step explanation:

a. 8x + 7 = 8x + 7

The expressions are equal to each other; therefore, the equation has infinite solutions.

b. 10t - 6 = 10t + 6

10t = 10t + 12

0 = 12

These terms do not equal each other. 0 does not equal 12; therefore, this equation has no solutions.

What is the simplest form of this expression?
(X - 4)(x4 + 3x - 5)

Answers

You raise x to the 4 the power, then take the cube root

What is the measure of the 5th angle?

Answers

Answer:

114

Step-by-step explanation:

Add all the angles displayed and add 90 degrees because we can see one of the angles is a right angle, Now take the total and subtract 540 with the sum and you will get 114 which is your answer.

- 4 ( - 3ab + 4ad ) - 6 ( 4ab ) - ( - 3ad)

Answers

Answer:

Is this pure simplification? If it is, here you go. :)

Step-by-step explanation:

= 12ab - 16ad - 24ab + 3ad

= (12ab - 24ab) + (-16ad + 3ad)

= (-12ab) + (-13ad)

= -12ab - 13ad

Step-by-step explanation:

-4(-3ab +4ad) -6(4ab)-(-3ab)

12ab-16ad-24ab+3ad

12ab-24ab-16ad+3ad

-12ab -13ad

Which rule describes the x-coordinates in the translation below?. 4 2 h 1 M * 3 us A.x+0
Bx+6
C.X-6
D.x+2​

Answers

Answer:

3 = 6 h M

Step-by-step explanation:

4 = 2 h ⋅ ( 1 M )⋅ 3 = 6 h M

you answered one of my questions before now i answer yours lol.

emyr sat his gsce maths exam. he scored a total of 112 marks out of the 200 possible.

Answers

Answer:
56%
Step-by-step explanation:
Complete question
(Emyr sat his gcse math exam.he scored a total of 112 out of the 200 posible. What is her mark percentage?)
To calculate the percentage of a value, we first of all take the value obtained divided by the total possible value obtainable multiply by 100.
In this case, the value obtained was 112 and the total value obtainable is 200.
x = (112 / 200) * 100
X = 0.56 * 100
x = 56%.
The percentage of his score was 56%

Shannon's bank balance was $15. Her mother the put $200 into her account for her birthday. Shannon then spent $187 on a new purse. How much money does Shannon have in her bank account after she boys a purse?
PLEASE HELP!!

Answers

15+200=215
215-187
=28

4.1% of 30
I’m in 7th grade so please don’t answer it to complicated lol

Answers

its

= 4.1/100 × 30

= 41/1000 × 30

= 123/100

= 1.23%

Answer:

1.23

Step-by-step explanation:

Hey there !!!!!

4.1% of 30

if we solve it :

Y is 4.1% of 30

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 4.1% * 30

Converting percent to decimal:

p = 4.1%/100 = 0.041

Y = 0.041 * 30

Y = 1.23

therefore:

4.1% of 30 = 1.23

Have a wonderful day

Leila and Joe are two partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $32 profit on the first item they sell, how much profit does Leila make?

Answers

Answer:

$24

Step-by-step explanation:

Since 32 divided by 4 equals 8, and 8 times 3 equals 24, if Jo makes $32 profit on the first item they sell, Leila will make $24 profit.

I hope this helps you :D

Will give brainilest!
A wall is y meters long. Two-thirds of the length of the wall is covered with stucco. The rest is covered with stone. Express
the length of the wall that is covered in stone.

Answers

1/3 of the wall is covered in stone

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

Answer:

The answer is b

Step-by-step explanation:

If y is reflected it will cause both to change

Answer:

it's b

Step-by-step explanation:

its b because yeah

1) 5k = 27
Solve equation and proportion

Answers

Answer:

k = 27/5

Step-by-step explanation:

Divide 5 on bot sides

5k/5 = 27/5

k= 27/5

so, k = 27/5 OR 5.4

The effect of pH on the action of a certain enzyme
is shown on the accompanying graph.
Rate of Enzyme Action
0 1 2 3 4 5 6 7 8 9 10 11 12 13
pH
What is the domain of this function?
1) 4 2) 4sys 13
3) 20
4 y20

Answers

Answer:

4 <(less than or Equal to) y (less than or Equal to) 13

Step-by-step explanation:

If H is the circumcenter of triangle BCD, find each measure. CD, CE, HD, GD, HG, HF

Answers

Answer:

H is the circumcenter of triangle BCD

CD = 2FD = 2*32 = 64CE = BE = 26HD = HC = 33GD = 1/2BD = 1/2(58) = 29HG = √HD ²-GD² = √33²-29² = 2√62 ≈ 15.75HF = √HD ²-FD² = √33²-32² =√65 ≈ 8.06

Find the measure of

Answers

Answer:

∠ HGL = 73°

Step-by-step explanation:

KL is a midsegment of the triangle and is parallel to HG, then

∠ KLJ = ∠ HGL ( corresponding angles ), so

9x - 62 = 5x - 2 ( subtract 5x from both sides )

4x - 62 = - 2 ( add 62 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°

Answer:

(See Below)

Step-by-step explanation:

please help me out i need it with these questions!!!!

Answers

Answer:

8*7-4*8

now

56-32

24 answer

Simplify (x-4) (4^2+x-6)​

Answers

Answer:

(x-4)(x+10)

Step-by-step explanation:

1
2. Verify that (1 - cos^20) CSc^20 =
(4 Points)

Answers

(1-cos^2(x)) csc^2(x)=1

one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)

we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:

sin^2(x) x 1/sin^2(x) = 1

sin^2(x)/sin^2(x) =1

the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same

so then 1=1 Therefore LHS=RHS

Hope this helps

what is 2/7 + 2/5 in simplest form

Answers

Answer:

24/35

Step-by-step explanation:

Saj makes Rose Pink paint and Cherry Pink paint. He mixes red paint with white paint as shown. Rose Pink red : white =1:2 Cherry Pink red : white =4:3 He makes 60 litres of Rose Pink paint. To this Rose Pink paint he adds 80 litres of red paint and 28 litres of white paint. Has he now made Cherry Pink paint? You must show your working.

Answers

Answer:

No. He had not made cherry pink paint

Step-by-step explanation:

Rose Pink red : white = 1 : 2

Cherry Pink red : white = 4 : 3

...he adds 80 litres of red paint and 28 litres of white paint.

The question basically want us to check if it follows the ratio.

To have the cherry pink, the ratio must be 4:3 however the ration of paint he mixed is;

80 : 28 which is equivalent to 20 : 7

This means he had not made cherry pink paint

Adding 80 litres of red paint and 28 litres of white paint to the 60 liters of Rose pink paint does not make Cherry pink paint

The ratios are given as:

Rose pink paint-> Red : White = 1 : 2

Cherry pink paint-> Red : White = 4 : 3

When he makes 60 liters of Rose pink paint, the proportion of white and red paints are:

[tex]Red = \frac{1}{1 + 2} \times 60[/tex]

[tex]Red = 20[/tex]

[tex]White = \frac{2}{1 + 2} \times 60[/tex]

[tex]White = 40[/tex]

He then adds 80 liters of red and 28 liters of white paints.

So, the new proportions are:

[tex]Red = 20+80[/tex]

[tex]Red = 100[/tex]

[tex]White = 40+28[/tex]

[tex]White = 68[/tex]

Express as ratio

[tex]Red : White = 100 : 68[/tex]

Simplify to the smallest term

[tex]Red : White = 25 : 17[/tex]

25:17 is not equivalent to 4:3.

Hence, he has not made Cherry pink paint

Read more about ratios and proportions at:

https://brainly.com/question/21602143

What percent of a dollar is 0.28

Answers

Step-by-step explanation:

Solution for 100 is what percent of 0.28:

Percentage solution with steps: Step 1: We make the assumption that 0.28 is 100% since it is our output value.

Answer:

28%

Step-by-step explanation:

How do you factorise fully x³-x

Answers

Answer:

=x³-x

=x(x²-1)

=x(x²-1²)

=x(x+1)(x-1)

hope it helps.

Solve the inequality -6x+28>=10

Answers

Answer:

x < 3

Step-by-step explanation:

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