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Studentka2010 [4]
2 years ago
7

(a) Rearrange the equation x + 2y = 6 to make y the subject.

Mathematics
2 answers:
satela [25.4K]2 years ago
7 0

To make y the subject, we must move everything to one side and y on the other.

  x + 2y = 6\\2y = 6 -x\\2y = -x + 6\\y =-\frac{1}{2} x + 3

Good day and I hoped that helped!

Luba_88 [7]2 years ago
3 0

Answer:

y=3-\frac{x}{2}

Step-by-step explanation:

<u>1. Examine Equation</u>

x+ 2y = 6

<u>2. Subtract "x" from both sides</u>

2y = 6-x

<u>3. Divide both sides by 2</u>

y = \frac{6}{2} -\frac{x}{2}

<u>4. Simplify</u>

y=3-\frac{x}{2}

<u />

<u />

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6 0
2 years ago
Which of the following numbers is closest to 7?
Sphinxa [80]

Answer:

B. √50

Step-by-step explanation:

7^{2} is 49 so √49 is 7

So,

since the <u>closest number to 49 is 50</u>, that is the answer.

7 0
3 years ago
Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the fu
Alja [10]
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8 0
3 years ago
Read 2 more answers
(Hehe...Please ignore the markings)
inysia [295]

Answer:

See below:

Step-by-step explanation:

Problem 1:

Multiply Equation 1 by 4, keep Equation 2 the same.

x+y=8, multiply each term by 4:

4*x=4x, 4*y=4y, 8*4=32

so, the equivalent system is: 4x+4y=32 and x-y=2

Solve the system of equations:

x-y=2 becomes x=y+2

plug into 4x+4y=32 to solve for y

4(y+2)+4y=32---> 4y+8+4y=32--->8y=24---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 1 Answer:

Equivalent system: 4x+4y=32, x-y=2; solution: x=5, y=3

Problem 2:

Keep Equation 1 the same. Add 1 and 2.

To add an equation, add the left sides together, and then the rights.

so: x+y=8 + x-y=2 gives us: 2x=10

solve for x ---> 2x/2=10/2--->x=5

plug x into x+y=8--->5+y=8--->y=3

Problem 2 answer:

Equivalent system: x+y=8, 2x=10; solution:x=5, y=3

Problem 3:

Subtract Equation 2 from 1, and keep 2 the same.

To subtract an equation, subtract the left sides, then the rights. We are subtracting 1<em> from </em>2, so its 2-1.

x-y=2 - x+y=8 gives us: -2y=-6

Solve for y by dividing by -2-->-2y/-2=-6/-2---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 3 answer:

Equivalent system: -2y=-6, x-y=2; solution: x=5, y=3

Problem 4:

Multiply the sum of Equation 1 and 2 by a factor of 3. Keep equation 2 the same.

First we add 1 and 2: (we did this earlier) ---> 2x=10 ---> now we multiply it all by 3---> 2x*(3)=10*(3)---> this gives us: 6x=30---> now divide by 6 to solve for x: 6x/6=30/6 gives us: x=5

Now, solve for y by plugging x into equation 2: x-y=2---> 5-y=2--->y=3

Problem 4 answer:

Equivalent system: 6x=30, x-y=2; solution: x=5, y=3

______

Quick Tip: One thing inherent of Equivalent systems is that they have the same set of solutions. Thus, we know the systems are equivalent when they have the same set of solutions for x and y. Moreover, you don't need to solve every time after you attempt to find an equivalent system, instead, just plug in the values found in problem 1 to each new set of equations to test if they are equivalent.

If we find x=5 and y=3 for x+y=8 and x-y=2, then all we have to do is plug them in to 6x=30 and -2y=-6 to see if they are equivalent.

6(5)=30 ---> true

-2(3)=-6 ---> true

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2 years ago
Seth just opened a checking account. His account includes an ATM card. What will he NOT be able to do with his card?    
OverLord2011 [107]

Answer:

Option a

Step-by-step explanation:

Given that Seth just opened a checking account. His account includes an ATM card.

With ATM card

d) he can withdraw money from any ATM centre provided sufficient balance is kept in his checking account

b) he can deposit money for fixed denominations normally in multiples of 100 in the ATM centre with ATM card

c) he can give the card with pin in any shop to purchase an item instead of paying cash.

Hence b,c,d are not right answers.

a) transfer money is not possible using ATM card.

Only with netbanking transfer of money is possible

Option a is right answer

6 0
3 years ago
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