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3 years ago

In the following system of equations, what would you do to eliminate x? 2x + 4y = 10 x - 3y = 12

1 answer:

8 0

2x +4y =10x-3y =12

2x +4y =12 -----eq. 1

10x-3y =12 -------eq.2

2x =12 -4y [using eq. 1]
x = (12-4y)/ 2
= 6 -2y

Now, substitute the value of x in eq. 2
10 (6-2y)-3y =10
60 -20y -3y =10
-23 y = 10 -60
y = -50 / -23
y = 50/23

Now, substitute this value of y in any equations given above

10 x-3 (50/23) =12
10x - (150/23)= 12
x= 426/230

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3 years ago

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gavmur [86]

Answer:

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Step-by-step explanation:

Let us use the x to represent the speed of the car since it is the smaller value.

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By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.

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3 years ago

What is the rational number equivalent to <br> __<br> 3.24?

guajiro [1.7K]

Answer:

$\frac{324}{100}$

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is $3\frac{24}{100}$

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3 years ago

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Answer:

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