Mathematics, 24.11.2019 09:31 alexalvarez304

Mr. brown is creating examples of systems of equations. he wants to have a system of equations with infinite solutions that includes the equation 5x + 2y = 8. which equation could mr. brown use to complete the system so that it has infinite solutions?

2x + 5y = 8
15x + 6y = 21
1.25x +0.5y = 2
6.5x + 3.5y = 9.5

Answers: 3

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In order to have a system of equations with infinite solutions, the equations must be equivalent. Two equations can be tested if they are equivalent by manipulating the equations such that they have equal coefficients for x or y.
We can take the coefficient of x as an example.

First, we reduce the coefficient of x of the given equation to 1 to make it simpler. We divide the whole equation by 5 and we get:
x + (2/5) y = 8/5

We do the same to the given options of equations.
We divide equation 1 with 2, equation 2 with 15, equation 3 with 1.25 and equation 4 with 6.5.
Compare the result with the given equation divided by 5 or x + (2/5) y = 8/5 and if it is the same, then the two equation are equivalent.

The third option: 1.25x +0.5y = 2 will give you the same equation.

Answer from: Quest

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒ $x\frac{60}{100}=45$

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

$\frac{x(.6)}{(.6)}= \frac{45}{(.6)}$

⇒ x = 75

therefore 75 tickets have been sold so far.

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

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