Solve, using the substitution method. y – 3x = 7
21 + 9x = 3y

A. There is no solution.

B. There are an infinite number of solutions.

C. The solution is (1, 10)

D. The solution is (28, 0)

Answers

Answer 1

Answer:

The system of equations are solved using substitution method and there are infinite number of solutions

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

To solve the given system of equations using the substitution method, we can follow these steps:

Step 1:

Solve one of the equations for one variable in terms of the other variable.

Let's solve the first equation, y - 3x = 7, for y in terms of x:

y = 3x + 7

Step 2:

Substitute the expression for the solved variable into the other equation.

Substitute the expression for y from step 1, which is 3x + 7, into the second equation, 21 + 9x = 3y:

21 + 9x = 3(3x + 7)

Step 3:

Simplify and solve for the remaining variable.

Now we can simplify the equation and solve for x:

21 + 9x = 9x + 21

0 = 0

Hence , resulting equation is a true statement, 0 = 0, which means that the system of equations is dependent and there are an infinite number of solutions.

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Answer 2

Answer:

The answer is B

let me show my answer

-3x+y=7;9x+21=3y

Solve -3x+y=7 for y

Add 3x to both sides

-3x+y+3x=7+3x

y=3x+7

Substitute 3x+7 for y in 9x+21 =3y

9x+21=3y

9x+21=3(3x+7)

Simplify both sides of the equation

9x+21=9x+21

Add -9x to both sides

9x+21+-9x=9x+21+-9x

21=21

Add -21 to both sides

21+-21=21+-21

0=0

Answer : B , Infinitely many solutions

I hope that's help !

Have a great day !

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8/9 divided by 1/2= 8/9 times what equels 8/9 divided by 1/2 does that make sense? lol
WILL BE GIVING BRANLIEST
29 POINTS

Answers

I
I think it might be 128/81
Divided 8/9 by 1/2=16/9
Since it’s it’s 8/9 greater than 16/9 I multiply 16/9 by 8/9= 128/81

Tell me if it’s wrong or right. I would like to know

you spend $16 on $3 notebooks and x binders. notebooks cost $2 each and binders cost $5 each. write an equation you can use to find the number of binders you bought.

Answers

i think you buy 2 binders

Reflection all symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane. A) rotated about an axis
B) translated along a line
C) rotated about a point

Answers

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane Option: A) rotated about an axis.

What is reflectional symmetry?

Consider a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, then that shape is called to have a reflectional symmetry.

Instead of that mirror intuition, we can also think that we sort of rotated that image about that considered axis, and after half rotation, the figure is again onto its plane. If that rotated figure looks alike to the initial figure, then that figure has rotational symmetry.

Thus, reflectional symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane Option: A) rotated about an axis.

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Answer:

Rotated about an axis

Step-by-step explanation:

APEX

Which equation is related to the equation shown?x + 3 = 12

A.

x = 12 + 3

B.

x = 12 ÷ 3

C.

x = 12 − 3

D.

x = 12 • 3

Answers

The answer is:

C) x = 12 - 3

Work/explanation:

To solve, subtract 3 on each side:

$\rightarrow\hspace{13} \sf{x+3 = 12}\n\n\n\rightarrow\hspace{13}\sf{x=12-3}\n\n\n\rightarrow\hspace{13}\sf{x=9}$

The equation that is related to the equation shown is x = 12 - 3.

C, because it's the opposite of the actual equation.

What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth? Data Set 1: {85, 83, 90, 70, 87} Data Set 2: {75, 74, 68, 83, 80}

Answers

Here is what I got for the first one. MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|85-83|+|83-83|+|87-83|+|90-83|+|70-83|) =1/5(2+0+4+7+13)) =5.2 And for the second one I got, MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|75-76|+|74-76|+|68-76|+|83-76|+|80-76|) =1/5(1+2+8+7+4)) =4.4

On Mary's walk she covered the 3-mile distance to the park in one hour. However, the return trip took her one and a half hours. What was her average speed for the round trip?

Answers

the total distance covered by Mary is 6miles
total time spent is 2 and half hours
average speed is given by,total distance divided by total time
so,6/2.5=2.4miles per hour

Final answer:

Mary's average speed for the round trip was 2.4 miles per hour, calculated by dividing the total distance of the trip (6 miles) by the total time for the trip (2.5 hours).

Explanation:

The question deals with calculating average speed for a round trip. The total distance for Mary's walk was 6 miles (3 miles to the park and 3 miles back). The total time taken for the walk was 2.5 hours (1 hour to get to the park and 1.5 hours to return).

Average speed is calculated by dividing total distance by total time. So, the average speed of Mary's round trip is 6 miles divided by 2.5 hours, which equates to 2.4 miles per hour.