Which statement about this system of equations is true? y=2/3x y=2/3x+3

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

8 0

Answer:

1. The system has no solution

Step-by-step explanation:

No solution can only be possible when two lines are parallel to one another, thus never intersect and hence have no solution. In order to identify a two parallel lines, the slope of each must be equal to one another. Let's take a look at our equations:

y=2/3x,

y=2/3x+3

Here 2/3 acts as the slope provided it is a "coefficient" of x. This means that the system has no solution provided the similar slopes.

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Which ratio is greater, 4:5 or 3:4?

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4:5
explanation-

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.

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2 years ago

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If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?

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Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

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2 years ago