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Sveta_85 [38]
3 years ago
9

What is the solution for the system of equations? Use the substitution method to solve. y=5−3x5x−4y=−3 Enter your answer in the

boxes.
Mathematics
1 answer:
velikii [3]3 years ago
5 0

y=5-3x\\5x-4y=-3\\\\5x-4(5-3x)=-3\\5x-20+12x=-3\\17x-20=-3\\17x=-3+20\\17x=17\\x=17/17\\x=1\\\\y=5-3x\\y=5-3(1)\\y=5-3\\y=2\\\\5x-4y=-3\\5(1)-4(2)=-3\\5-8=-3\\-3=-3

So:

x=1

y=2

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6. Describe, step-by-step how to find the slope of a line through two points.
Margarita [4]

Answer:

Step-by-step explanation:

The slope is the difference in y-coordinates of the 2 points divided by the corresponding difference in x-coordinates.

For example:

Find the slope of the line joining the points (3, 5) and (-2, 1)

The slope = (5 - 1) / (3 - (-2))

= 4/(3+2)

= 4/5.

NOTE:

You would get the same result if you reversed the values

- that is (1 - 5)/(-2 - 3

= -4/-5

= 4/5.

The important thing to remember is to use <em>corresponding </em>values in the calculation.

5 0
3 years ago
Rodrigo practiced playing the guitar for 15 1/3 hours over the past 3 weeks. He practiced for 6 1/4 hours during the first week
Yuri [45]
Add up the sum and divide.

Practice Chart
1st Week: 6.25 Hours
2nd Week: 4.66 Hours
3rd Week: 15.33 - (1st Week + 2nd Week) 

Solve:
6 1/4 + 4 2/3 = 10 8/12 or 10 2/3

15 1/3 - 10 2/3
14 4/3 - 10 2/3
4 2/3 hours practiced third week

Hope this helps!
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cbf%20%5Chuge%20x%20%7B%7D%5E%7B2%7D%20%20%2B%205%20%3D%206" id="TexFormula1" title=" \bf
ira [324]

<u>Given</u> :

  • x² + 5 = 6

<u>Subtract 5 from each side</u> :

  • x² + 5 - 5 = 6 - 5
  • x² = 1

<u>Take the root on each side</u> :

  • √x² = √1
  • x = ±1

<u>Hence, the values of x are</u> :

  • \fbox {x = 1}
  • \fbox {x = -1}
5 0
2 years ago
Read 2 more answers
Explain how to write 2.14 x 10 to the negative power of 5 in standard form by moving the decimal point
Hatshy [7]

Answer:

21.4 * 10^(-5)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can you please help me with this you can just give me the answer
densk [106]

Answer:

(-6,4)

Step-by-step explanation:

4 0
3 years ago
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