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Nana76 [90]
3 years ago
10

Solve the system algebraically. 3x - 2y - 1 = 0 y = 5x + 4 What is the solution?

Mathematics
2 answers:
alexira [117]3 years ago
4 0
3x - 2 ( 5x + 4 ) - 1 = 0
3x - 10x - 8 - 1 = 0
7x = - 9
x = - 9/7

y = 5 ( - 9/7 ) + 4
y = - 45/7 + 4
y = - 3/45/7
Bogdan [553]3 years ago
3 0

Answer:

x=\frac{-9}{7}

y=\frac{-17}{7}

Step-by-step explanation:

We have been given the equation:

3x-2y-1=0

And y=5x+4

Second equation can be rewritten as:

5x-y=-4

We will solve the equations:

3x-2y=1      (1)

5x-y=-4       (2)

Multiply equation (1) by 5 and equation (2) by 3 we get:

15x-10y=5      (3)

15x-3y=-12       (4)

Now, subtract (4) from (3) we get:

-7y=17

y=\frac{-17}{7}

Now substitute y=\frac{-17}{7} in equation (1) we get:

3x-2{\frac{-17}{7}}=1

3x+\frac{34}{7}=1

21x=-27

x=\frac[-27}{21}

x=\frac{-9}{7}




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Find ML, JK=3x+11, ML=10x-12, NP=45
tigry1 [53]

Answer:

ML = 58

Step-by-step explanation:

Given

JK=3x+11, ML=10x-12, NP=45

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

JK : NP = NP : ML

Express as fraction

\frac{JK }{ NP} = \frac{NP }{ ML}

Cross Multiply

JK * ML = NP * NP

Substitute values:

(3x +11) * (10x - 12) = 45 * 45

Expand

30x^2 - 36x + 110x - 132 = 2025

30x^2 +74x - 132 = 2025

Collect like terms

30x^2 +74x - 132 - 2025=0

30x^2 +74x -2157=0

Using a calculator:

x \approx -10 and x \approx 7

Given that:

ML=10x-12

Substitute values for x

ML=10*-10-12 = -100 - 12 = -112

ML=10*7-12 = 70 - 12 = 58

ML cannot be negative; So:

ML = 58

5 0
3 years ago
Tina uses a $50 gift certificate to buy a pair of pajamas for 17.97 a necklace for 25.49 and 3 pairs of socks that each cost the
Furkat [3]
The overall cost is $50.33. you now subtract out the prices you know. The easiest way to do that is to add them up; 17.97+25.49. That is 43.46.

The next step is to subtract 43.46 from 50.33. 50.33-43.46=6.87. That is the price of all the pairs of socks put together.

to find out how much one pair is, you then divide 6.87 by 3. That is 2.29.

The answer is $2.29

I hope this helps!
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4 years ago
Including the original name, how many different names did you list for:
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Answer:

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Step-by-step explanation:

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Find the values of x and y .
Pani-rosa [81]
X = ?, y = ?;
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2 x - x = 30° + 70°
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6 0
3 years ago
Read 2 more answers
to play bingo night. there is a 10$ cover change pluse 2$ per bingo card. write an wquation of the cost of (y) based on the numb
valkas [14]
10(2x)=y

Why?
10 is the cover charge, since it's necessary I placed it alone.
( meaning multiply in math
The 2 is the charge of each bingo card
x, we don't know how many purchases are made so x will be right next to 2 meaning it's $2 per purchase. Since we don't know what x is we leave it as that.
y is the cost in this equation, since we don't know what y is we just leave it as y.

Hope this helped
5 0
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