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son4ous [18]
3 years ago
5

Solve -4x+y=-1 and Y=2x-5 using substitution

Mathematics
1 answer:
crimeas [40]3 years ago
4 0

Answer:

x= -2, y= -9

Step-by-step explanation:

let -4x+y=-1 be [1]

and y=2x-5 be [2]

Sub [2] into [1]

-4x+(2x-5)=-1

-4x + 2x -5 = -1

-2x -5 = -1

-2x = 4

2x = -4

x = -2

Sub x=-2 into [2]

y=2(-2)-5

y=-4-5

y=-9

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Solve for y.<br> -6y=-18<br> Simplify your answer as much as possible.
Diano4ka-milaya [45]

Answer:

y=3

Step-by-step explanation:

Isolate the unknown variable:

-6y/-6=-18/-6

Since both the denominator and numerator are negative, the result will be positive:

y=3

8 0
4 years ago
place an x in the table to show the precent decrease from the first number to the second number. giving brainliest!!
dezoksy [38]

Answer:

150 to 117 is 25%

340 to 255 is 25%

450 to 351 is 22%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If csc 0=8÷7 which equation represents cot 0
Dahasolnce [82]

Answer: Cot\theta =\frac{\sqrt{15} }{7}

Step-by-step explanation:

Since, given cosec\theta=\frac{8 }{7}

And we know that Cot\theta=\sqrt{cosec^2\theta-1}

Therefore, Cot\theta=\sqrt{cosec^2\theta-1} = \sqrt{(8/7)^2-1}= \sqrt{64/49-1}

⇒Cot\theta=\sqrt{64-49/49}=\sqrt{15/49}=\sqrt{15}/7

Thus,  Cot\theta =\frac{\sqrt{15} }{7}


4 0
4 years ago
Read 2 more answers
The sum of two numbers 10 and the difference of those two numbers is 18 (use f to represent the first number and s to represent
PtichkaEL [24]
F + s = 10

| f - s | = 18

-------

This means that:

f = 10 - s

And also that:

| f - s | = 18

(f-s)²=18²

f²- 2sf + s² = 324

But f=10-s

So...

(10-s)² - 2s(10-s) + s² = 324

(10-s)(10-s) - 20s + 2s² + s² = 324

100 - 20s + s² - 20s + 2s² + s² = 324

4s² - 40s + 100 = 324

4s² - 40s + 100 - 324 = 0

4s² - 40s - 224 = 0

1/4 * (4s² - 40s - 224) = 1/4 * 0

s² - 10s - 56 = 0

(s-14)(s+4)=0

So s can be either 14 or -4.

When s = 14, f = -4.

When s = -4, f = 14.
5 0
4 years ago
A train travels 50 kilometers in 4 hours, and then 77 kilometers in 3 hours. What is its average speed?
o-na [289]
The formula for finding speed is distance divided by time:
Speed =  Total Distance / Total Time
D1 = 50
TI = 4 
D2 = 77
T2 = 3
Average speed = D1 + D2 / TI + T2
Average Speed = 50 + 77/ 4 + 3 = 127 / 7 = 18.14.
Therefore, the average speed of the train is 18.14 m/s. 
5 0
4 years ago
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