All categories

3 years ago

5x-4y+-13 and 3x-4y+-11

2 answers:

5 0

1) 5x-4y-13=3x-4y-11
2) 5x-4y=3x-4y-11+13 (Add 13 to both sides)
3) 5x-4y+4y=3x-11+13 (Add 4y to both sides)
4) 5x-3x=-11+13 (Subtract 3x from both sides (the -4y and +4y cancel each other))
5) 2x=2 (subtract 5x-3x and add -11+13)
6) x=1 (Divide both sides by 2)

x=1 y=0 or (1,0)

drek231 [11]3 years ago

3 0

5x + -4y = 13

Solving
-5x + -4y = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y

Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y

Divide each side by '-5'.
x = -2.6 + -0.8y

Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0

Reorder the terms:
-11 + 3x + -4y = 0

Solving
-11 + 3x + -4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11

Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11

Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y

Divide each side by '3'.
x = 3.666666667 + 1.333333333y

Simplifying
x = 3.666666667 + 1.333333333y

You might be interested in

will be BRAINLIEST if answered fast What does finding a balance in the use of drones mean? Is FAA working to find a balance? why

wel

In this article, professor Hillary Farber talks about 'finding balance' in the use of drones by this she means that we need to find a way that we can use drones and have privacy and be safe. I believe that FAA is working to find a balance because they created new rules for the use of drones. Also, they created a national drone registry or list.

6 0

3 years ago

We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we

Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0

4 years ago

Roberto will save 1/6 of his allowance each day. If you get two dollars a day about how much money will you save round to the ne

AlladinOne [14]

About $.33 hint: of means multiply

5 0

4 years ago

Find the value of side a on the right triange, given that side B=12cm and side C=15cm

docker41 [41]

Use Pythagoras's theorem.
$a^{2} + b^{2} = c^{2}$

Now, minus 12 from 15:
15 - 12 = 3,
which you need to square.
So the length of a = 9cm.

You can also do:
$\sqrt{15^{2} - 12^{2} }$
Which gets 9.

Hope this helps.

3 0

3 years ago

Plzzzzzzzzzzzzzzzzzzz

inysia [295]

Answer:

Step-by-step explanation:

$\frac{12x+4}{4}\\ \\ 3x+1\\ \\ 3(3)+1\\ \\ 9+1\\ \\ 10$

7 0

3 years ago