A system of linear equations is shown below. 2x+4y=103x−y=8 Maria is attempting to prove that by replacing 2x+4y=10 with a different equation it will sometimes produce a new system of equations with the same solution. Maria plans on multiplying 2x+4y=10 by 2 and then adding the results to the equation 3x−y=8 in order to create a new equation. Maria claims that the new equation that she will replace 2x+4y=10 with is 7x+7y=12. Is Maria correct? Why or why not?

Answers

Answer 1

Answer:

Answer:

No she is wrong.

Explanation:

$\sf\n2x+4y=10...........(1)\n3x-y=8...........(2)\n\n\textsf{First Maria multiplies equation(1) by 2:}\n2(2x+4y)=2(10)\n\textsf{or, }4x+8y=20........(3)\n\n\textsf{Then she adds the resulting equation to equation (3):}\n(4x+8y)+(3x-y)=20+8\n\textsf{or, }7x+7y=28$

$\textsf{Maria is wrong because she obtained the wrong equation.}$

Related Questions

there are 2 small sweaters, 2 medium sweaters, and 1 large sweater in a bag. what is the probability that Lydia randomly pulls a medium sweater out of the bag? write the probability as a percent. please
There were 6954 cases filed with the Supreme Court. Of these only 82 were decided by the Supreme Court. What percentage was decided by the Supreme Court
Which statement is true about the function f(x)= x?O The domain of the graph is all real numbers.The range of the graph is all real numbers.The domain of the graph is all real numbers less than or equal to 0.The range of the graph is all real numbers greater than or equal to 0.
Can 24 7ths be equal to another fraction or be simplified in another way
Round each number to the nearest tenth. What is the best estimate for the answer to 47.82 74.31?

A potter use 3/5 of a pound of clay to make a bowl.How many bowls the potter make from 10 pounds.

Answers

We are writing proportion:
$(3)/(5) of a pound of clay -$ 1 bowl
10 pound of clay - x bowl
We are looking for x which is amount of bowl
After cross multiplication:
$(3)/(5)$ x=10
x= $(50)/(3)$ =16,66 ,so from 10 pounds we will make 16 bowls.

10 divided by 3/5 = 10 x 5/3 = 50/3 = 16 and 2/3 bowls.

That's the mathematical answer. In the real-world pottery shop, he can
make 16 complete bowls, and have 2/5 pound of clay left over.

A student is trying to solve the set of two equations given below:Equation A: x + z = 6
Equation B: 2x + 3z = 1

Which of the following is a possible step used in eliminating the z-term? (5 points)

Multiply equation B by 3.
Multiply equation A by 2.
Multiply equation B by 2.
Multiply equation A by –3.

Answers

Equation A : x + z = 6
Equation B : 2x + 3z = 1

Possible step used in eliminating in z-term.

Multiply equation A by -3.

-3(x +z) = -3(6)
-3x - 3z = -18

-3x - 3z = -18
2x + 3z = 1
-x = -17
÷ -1 ÷ -1
x = 17

Answer:

x=17 other answer expert verified (sniff, sniff) breaks out in tears

(bad joke)

Which is the value of this expression when a=5 and k=-2

Answers

The answer is C. Hope this helps!

C) 25/9

I just took the quiz on edge

Which of the following is the least? A.0.105
B.0.501
C.0.015
D.0.15
I don't need an answer i need an explanation

Answers

Starting at the decimal point ...

-- Look at all the digits in the first place after the decimal point.
Find the smallest one. If more than one number has that digit
in the first place, then keep those, discard the others, and ...

-- Look at the digits in the second place after the decimal point.
Find the smallest one. If more than one number has that digit
in the second place, then keep those, discard the others, and ...

-- Look at the digits in the third place after the decimal point.
Find the smallest one. If more than one number has that digit
in the third place, then keep those, discard the others, and ...

-- Look at all the digits in the fourth place after the decimal point.
Find the smallest one. If more than one number has that digit in
the fourth place, then keep those, discard the others and ...
.
.
.
etc.

Keep going until you have only one number left. That's the smallest one,
out of the entire original list.

In the example you gave, the smallest digit in the first place after the decimal point
is the '0', and choice-'C' is the only one that has it. So choice-'C' is the least, and
you don't need to go any farther.

Here's another one to practice on. It needs the whole procedure that I wrote out,
but now it should be easy for you:

0.1234607
0.1234915
0.1234095
0.1234017
0.1234184
0.1234521

C, because if you look at the 10ths place you want the lowest number- and so 0 is the least so that's the lowest number !

Sins = 8x2 and = 2x + a find 5- o

Answers

(f × g ) (w) (Please note that I have used w in place of x)
∴((8w²) × (2w+8) × w
(16w³ × 64w²) × w
$16w^(4)$ × 64w³
$1024w^(7)$

What can baby lizards do that baby snakes can't

Answers

There are numerous answers, but the most common ones are that they can walk since they have legs, and they can change colors which is not a property of snakes.

Other Questions

Expand (2x-3y+3)^2PLEASE HELP!!

Determine whether the equation defines y as a function of x+y2=1

Mike wants to make meatloaf. His recipe uses a total of 5 pounds of meat. If he uses a 3 to 1 ratio of beef to pork, how much pork will he use?

Israel planted 4 tomato seeds in his garden. Then he planted flower seeds in each of his three neighbor's gardens. Which expression represents the number of seeds Israel planted?A. 4s + 3B. 4 + 3sC. 4 – 3sD. 3s – 4