All categories

3 years ago

Explain how to solve this system algebraically

Mathematics

2 answers:

gulaghasi [49]3 years ago

4 0

Answer:

take the -12 to behind the equal and replace with 0 then solve the polynomial

garik1379 [7]3 years ago

4 0

4x-2y=-12.....I
2x-y=-6.......II

2x+6=y......iii

From eqn I
4x-2(2x-y)=-12
or,4x-4x+2y=-12
or,2y=-12
Y=-6

In eqn iii
2x+6=-6(y=-6)
or,2x=-12
X=-6

You might be interested in

What is half of £5.20??

Novosadov [1.4K]

2.60pounds :)
.......................

4 0

3 years ago

A coin purse contains d dimes and q quarters. There are 35 coins in the purse, and the total value of the coins is $5.60. Create

pogonyaev

Answer:

14 dimes, 21 quarters

Step-by-step explanation:

Represent dimes with d and quarters with q.

So: 35 coins means

$d + q = 35$

1 dime = $0.10 and 1 quarter = $0.25. So, a value of $5.60 means

$0.10d + 0.25q = 5.60$

So, the system of equations is:

$d + q = 35$

$0.10d + 0.25q = 5.60$

Make d the subject in $d + q = 35$

$d = 35 - q$

Substitute 35 - q for d in $0.10d + 0.25q = 5.60$

$0.10d + 0.25(35 - q) = 5.60$

Open bracket

$0.10d + 8.75 - 0.25q = 5.60$

Collect Like Terms

$0.10d - 0.25q = 5.60 - 8.75$

$-0.15q = -3.15$

Solve for q

$q = \frac{-3.15}{-0.15}$

$q = 21$

Substitute 21 for q in $d = 35 - q$

$d = 35 - 21$

$d = 14$

7 0

3 years ago

I need help please help

erastovalidia [21]

Answer:

x = 57*

Step-by-step explanation:

The angles of a triangle add up to 180.

67 + 56 = 123

180 - 123 = 57

57 degrees

6 0

3 years ago

A small fruit basket costs $8 and a large fruit basket costs $24. The small basket

Nady [450]

Answer:One apple is 1.17

One pear 0.25

See below :)

Step-by-step explanation:

3 0

3 years ago

According to the consulting firm IHS Automotive, in the year 2014, global automobile sales reached 82.84 million vehicles. Expre

wariber [46]

Let's change it by multiplying by 10^6.

So, the number is:

82,840,000 [82 million, 840 thousand]

Now,

For scientific notation, we have to take the decimal point until there is 1 digit to its left.

Thus it will be:

8.284

<em>This number will be multiplied by a power of 10. This power will be the number of digits we went left to have 8.284 instead of 82,840,000...</em>

Well, that's 7 digits. Thus, the scientific notation would be:

$8.284\times10^7^{}$

8 0

1 year ago