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sdas [7]
3 years ago
9

Solve this system using substitution then write your answer as an ordered pair (x,y) X-5y=4 and Y=2x+14

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

(74/9,274/9)

Step-by-step explanation:

You have

x-5y=4 and

y=2x+14

so we subsitute y in the first equation

x-5(2x+14)=4

x-10x-70=4

-9x=74

x=74/9

so y=2(74/9)+14

y=148/9+14

y=274/9

so the oredered pair is

(74/9,274/9)

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simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed
Gnoma [55]

Answer:

\frac{x^{2}  + 19x - 56}{4 {x}^{2}   - 32x}

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

\frac{x + 7}{4x}  +  \frac{5}{x - 8}

=  \frac{(x + 7)(x - 8)}{4x(x - 8)}  +  \frac{5(4x)}{4x(x - 8)}

=  \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)}

=  \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4 {x}^{2}  -  32x}

7 0
2 years ago
Multiplying Integers with Integer Tiles –5(–2) =
Taya2010 [7]

Answer:

-5 x -2 = 10

Step-by-step explanation:

- x - = +

5 x 2 = 10

3 0
2 years ago
Read 2 more answers
twice a number plus three times another number equals 4. three times the first number plus four times the other number is 7. wha
Drupady [299]

Answer:

x=5, y=-2. (5, -2).

Step-by-step explanation:

2x+3y=4

3x+4y=7

----------------

3(2x+3y)=3(4)

-2(3x+4y)=-2(7)

----------------------

6x+9y=12

-6x-8y=-14

-----------------

y=-2

2x+3(-2)=4

2x-6=4

2x=4+6

2x=10

x=10/2

x=5

5 0
2 years ago
If an object is projected upward from the top of a 144 ft building at 112 ft per sec, its position (in feet above the ground) is
Mandarinka [93]

When it hits the ground the height would be 0.

Set h to 0 and solve for t ( time)

0 = -16t^2 + 112t + 144 divide both sides by -16:

T^2 -7t -9

Factor the polynomial :

( t- 8.1) (t+1.1

Solve for t setting each equation to 0:

T = 8.1 or t = -1.1

Time has to be positive, so the answer is

8.1 seconds

Depending on how everything gets rounded it could also be 8 seconds.

8 0
3 years ago
Solve for the positive value of x: 6x2 – 54 = 0
n200080 [17]
If you would like to solve for the positive value of x, you can do this using the following steps:

6 * x^2 - 54 = 0      /6
x^2 - 9 = 0
(x - 3) * (x + 3) = 0
1. x = 3
2. x = - 3

The correct result would be x = 3.
4 0
3 years ago
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