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zlopas [31]
2 years ago
7

Solve the system of equations - 6x + 5y = 0 and -5x + 5y = -5 by combining

Mathematics
1 answer:
Anna [14]2 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (-5, -6)

Step-by-step explanation:

The coefficients of y are the same, so we can eliminate y by subtracting one equation from the other. Here, we choose to subtract the first from the second, so that the coefficient of x ends up positive.

  (-5x +5y) -(-6x +5y) = (-5) -(0)

  x = -5 . . . . . . simplify

  -6(-5) +5y = 0 . . . . . . substitute x into the first equation

  6 +y = 0 . . . . . . . . . .  divide by 5

  y = -6 . . . . . . subtract 6

The solution to the system of equations is (x, y) = (-5, -6).

You might be interested in
What is the slope of a line that passes through the points (-5,-3) and (9,-6)
kipiarov [429]
To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3)  (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1      -6-(-3)     -9
-------- =   -------- =  ----
x2-x1       9-(-5)     14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14


7 0
3 years ago
What is 5 times 5 equal
masya89 [10]

Answer:

25

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
ALONDRA Help me please check my answer and help with the others that I haven't done
nadya68 [22]
1) is correct.
2) is correct.
3) is correct.
4) is correct.
5) is not there.
6) is your first choice.
7) is incorrect is your second choice.
8) is your first choice.
13) is your last choice.
14) is your last choice.
15) is your third choice. 
5 0
3 years ago
Which of the following ordered pairs are solutions to the system of
lawyer [7]

Answer:

A,C, F

Step-by-step explanation:

y> 7 so,

eliminating B,D and E

now, for A, 2×1 < 9

for C, 2×-1<10

for F, 2× 17< 59

3 0
2 years ago
Which of the following is NOT an integer?<br><br> 1,-3,0,0.25
Darya [45]

Answer:

0.25

Step-by-step explanation:

<u>Fractions and decimals are not integers.</u> Any and all whole numbers, 1, 2,3, 4, -1, -2, -3, -4 etc. are integers. 0.25 is a decimal and therefore not an integer.

<u>Hope this helps and have a nice day!</u>

3 0
2 years ago
Read 2 more answers
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