Three less than three times a number is three more than five times that same number . What is the number

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

4 0

Answer: -3

Solution:

Let n be that number.

So,

Three less than 3*no = 3 more than 5*no

3*n-3=5*n+3

5n-3n=-3-3

2n=-6

n=-3

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Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4

valentinak56 [21]

Answer:

The equation of the Parallel line to the given line is 5x+y-7=0

Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is ax+by+k=0

Given straight line 5x + y -4 =0

The equation of the Parallel line to the given line is 5x+y+k=0

This line passes through the point (1,2)

5x+y+k=0

5(1)+2+k=0

⇒ 7+k=0

k =-7

Final answer:-

The equation of the Parallel line to the given line is 5x+y-7=0

7 0

2 years ago

Hey! Can you help out a bit?

Lady_Fox [76]

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\\====================================\\k:y=-x-2;\ l:y=mx+b\\\\k\ \perp\ l\iff-1\cdot m=-1\Rightarrow m=1\\\\l:y=1x+b\to y=x+b\\\\(4;\ 1)\to substitute\ x=4\ and\ y=1\ to\ y=x+b:\\\\4+b=1\\b=1-4\\b=-3\\\\Answer:y=x-3$