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Fynjy0 [20]
4 years ago
12

Solve the following system of equations algebraically for all values of x,y and z

Mathematics
1 answer:
Rudiy274 years ago
6 0
X + 3y + 5z = 45
6x - 3y + 2z = - 10
------------------------add
7x + 7z = 35

6x - 3y + 2z = -10
-2x + 3y + 8z = 72
----------------------add
4x + 10z = 62

7x + 7z = 35....multiply by 4
4x + 10z = 62...multiply by -7
---------------------
28x + 28z = 140 (result of multiplying by 4)
-28x - 70z = - 434 (result of multiplying by -7)
--------------------add
- 42z = - 294
z = -294/-42
z = 7

4x + 10z = 62
4x + 10(7) = 62
4x + 70 = 62
4x = 62 - 70
4x = - 8
x = -8/4
x = -2

x + 3y + 5z = 45
-2 + 3y + 5(7) = 45
-2 + 3y + 35 = 45
3y + 33 = 45
3y = 45 - 33
3y = 12
y = 12/3
y = 4

solution is (-2,4,7) <==
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Answer:

y=8x-29

Step-by-step explanation:

Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.

Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).

x=4, y=3... so 3=8(4)+b

Now you can solve for the variable b to find the y-intercept.

3=8(4)+b, multiply...

3=32+b, subtract 32 on both sides...

-29=b

Therefore, the y-intercept, or b, is -29.

The equation would be y=8x-29

7 0
3 years ago
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svet-max [94.6K]
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3 0
3 years ago
Y=4x−5<br> y=2x+3<br> ​ <br> is (4,11) part of the system
pentagon [3]

Answer:

Yes

Step-by-step explanation:

If (4,11) is part of the system, it should satisfy both equations

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11 = 11 is a true statement

Since (4,11) satisfies both the equations, it is part of the system

6 0
3 years ago
A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows t
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4 years ago
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xeze [42]

Answer:

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10(9 - 11)

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3 years ago
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