-3(2r+7)=3 solve for r

Answers

Answer 1
Answer: -3(2r+7)=3
Opening the brackets;
-6r-21=3
-6r=3+21
-6r=24
r=-4
Answer 2
Answer: -3(2r+7)=3
-6r + -42=3
+42 +42
-6r =45
Then all you do is divide

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Answers

i did it over and i got this 

Complete the solution of the equation. find the value of y when x equals -8
8x+8y=-48

Answers

8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
(8) (−88y 48
−64 8y 48
8y − 64 48
-----------------------------------------
Add 64 to each side
8y − 64 + 64 −48 64
8y 16
---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = 2
----------------------------------------------------------------
y = 2 is your answer

A system of equations is shown below: 5x + 2y = 3 (equation 1) 2x − 3y = 1 (equation 2) A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

Answers

The new system of equations the student can use for the proof is:

7x - y = 4

2x - 3y = 1

What is the Solution to a System of Equations

The solution is simply the value of x and y that makes both equations true in the system.

Given:

5x + 2y = 3 --> eqn. 1

2x - 3y = 1 --> eqn. 2

Replacing equation 1 with the sum of eqn. 1 and a multiple of eqn. 2, we would have:

7x - y = 4

Therefore, the new system of equations the student can use for the proof is:

7x - y = 4

2x - 3y = 1

Learn more about the system of equations on:

brainly.com/question/13729904

Answer:

Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

Given System of equations is 5x + 2y = 3 (equation 1) and 2x - 3y = 1 (equation 2)

Second System of equations is 2x - 3y = 1 and 7x - y = 4

How we got  7x - y = 4

Step 1: Multiply 2x - 3y = 1 by 1, we get the same 2x - 3y = 1

Step 2: Add 5x + 2y = 3 with 2x - 3y = 1

5x + 2x + 2y - 3y = 1

7x - 3y = 1

We have got second equation 7x - 3y = 1

Thus, Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.


10. In how many ways can a 5-question multiple choice quiz beanswered if there are 4 choices for each question, and every
question must be answered?
Answer:

Answers

Answer:

4^5

Step-by-step explanation:

4 choices for each question so

4×4×4×4×4

4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters. oh

Answers

Answer:

False.

Step-by-step explanation:

The formula that is used to find the area of a rectangle is given by :

A = l×b

Where,

l is length and b is breadth

If area of a rectangle is 6m², it means we need to find the factors of 6. The factors of 6 are 2 and 3. If we multiply 2 and 3, we get 6.

Other possibility can be 1 m by 6 m because if we muliply 1 m and 6 m, we get 6m².

It means there are more than one possibiliy about the length and breadth of the rectangle.

Hence, the given statement is not true.

Solve the equation, check for extraneous solutions x-10= √9x please explain each step with words:)

Answers

x-10 = root 9x |Square both sides |(x-10)squared = 9x |Expand |(X-10) (x-10) = 9x |xsquared -10x -10x +100 =9x |Simplify |x squared -20x + 100 = 9x |-9x from both sides |X squared -29x +100 = 0 |Factorise |(x - 25) (x - 4) = 0 |x = 25 or x = 4