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Vinil7 [7]
2 years ago
13

A system of equations has definitely many solutions. If 2y-4x=6 is one of the equations, which could be the other equation?

Mathematics
1 answer:
NISA [10]2 years ago
8 0

The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6   ⇒ divide all the equation over 2

∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a

Where a is constant and belongs to R ( All real numbers )

The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>

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Each bag of pattern blocks contains 50 blocks. To make a class pattern, the teacher combines 4 bags of blocks. How many pattern
iVinArrow [24]
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4 0
2 years ago
Complete the square and write in function form f(x)=x^2+5x+3
Over [174]
F(x) = x^2 +5x + 3

     = (x + 2.5)^2 - 6.25 + 3

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6 0
3 years ago
If 15 oranges cost Rs. 70,how much do 39 oranges cost ?​
Minchanka [31]

Answer:

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Step-by-step explanation:

70 ÷ 15 = 4.66

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7 0
3 years ago
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Lyrx [107]

Answer:

1/2

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