Select the correct answer.The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
y variable, and what is the solution for this system?
x+3y= 42
2x - y = 14
OA. Multiply the second equation by-3. The solution is x= 12, y=9.
OB. Multiply the second equation by -2. The solution is x = 12, y=10.
OC. Multiply the second equation by 2. The solution is x = 15, y = 9.
OD. Multiply the second equation by 3. The solution is x = 12, y = 10.

Answers

Answer 1
Answer:

Answer:

Multiply the second equation by 3. The solution is x = 12, y = 10.

Step-by-step explanation:

The given equations are :

x+3y= 42 ....(1)

2x - y = 14 ...(2)

For elimination method,

Multiply the second equation by 3.

6x-3y=42 .....(3)

Adding equations (1) and (3).

x+3y+6x-3y=42+42

7x = 84

x = 12

Put the value of x in equation (1).

12+3y= 42

3y = 30

y = 10

So, x = 12 and y = 10. Hence, the correct option is (d).


Related Questions

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?a) 9 units, 12 unitsb) 11 units, 10.2 unitsc)4.9 units, 15.8 unitsd)4.9 units, 14.2 unitse)5.2 units, 14.1 units
PLEASE HELP 5. Find the distance of the line segment joining the two points: (2,0) (0,-2)
A circle has a radius of 5 meters. What is the length of an arc of that circle that is captured by a central angle that measures 120°. Round your answer to the nearest hundredth.
Use the distributive property to find the product of the rational number. -3/4 ( -1/5 - 3/5)A. 3/5B. 4/5C. 9/20D. - 3/5
Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?

How Can associative Property be used to mentally find 48+82?

Answers

Associative property of addition represents this equation:
a + b = b + a
So, how would it be helpful with this given equation?
=> 48 + 82
=> Let's start with the ones place value.
(2 + 8) = 10, bring down 0, carry 1 then ( 4 + 8) = 12 + 1 = 13
So the answer is 130.
If we are going to do it vice versa, still expect that the same answer will occur.

Multiply.–6 • (–12)

A.
72

B.
–18

C.
–72

D.
18

Answers

first you should know that when two negative numbers multiply by each other the answer will be positive so we can say : 6 * 12 = 72 so the answer is A
:)))
i hope this be helpful 
have a nice day 

P + 4 Solve for p
--------- = 5
6

Answers

Answer:

p = 26

Step-by-step explanation:

(p+4)/6 = 5

Multiply each side by 6

(p+4)/6 *6 = 5*6

p+4 = 30

Subtract 4 from each side

p+4-4 = 30-4

p = 26

The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15
B. 10x – 15
C. 10x – 8
D. 7x – 8

Answers

The area of a rectangle is the product of its length and its width. It is expressed as:

Area = l x w

We use this equation, to solve this problem.

Area = l x w
Area = (2x – 3) x 5
Area = 10x - 15

Therefore, the correct answer is option B.
5(2x - 3)

5 * 2x = 10x
5 * -3 = - 15

10x - 15


There are ten questions on Jack's science quiz: six multiple choice questions with four choices each and four true/false questions. How many ways can he answer the question?

Answers

Questions with multiple choice can be answered: 4^6 = 4096 ways
True/false questions can be answered: 2^4 = 16 ways

The total number of ways to answer all questions = 4096*16 =65,536 ways

Right TriangleA (-8,7)
B (-8, 3)
C (-3,3)
Rotate the right triangle 90° clockwise
what is the: A’ B’ and C’?

Answers

Answer:

A’ (7, 8)

B’ (3, 8)

C’ (3, 3)

Step-by-step explanation:

Help so um when u go 90 clockwise when ur in quadrant 4 (-,+) u go to quadrant 1 (+,+) and you also have to flip the numbers because of the rotation