A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the smaller number. Which equations represent the situation? 2 x minus y = negative 6 and 3 x minus y = negative 5 2 x minus y = negative 3 and 3 x minus y = negative 5 2 x minus y = negative 6 and x minus 3 y = 5 2 x minus y = negative 3 and x minus 3 y = 5

The equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5

From the given information:

Let the smaller number be x; then the word problem can be expressed as:

From (1), if we open the brackets, we have:

multiplying through by (-), we have:

Also, from equation (2)

By rearrangement

Multiplying through by (-), we have:

Therefore, we can conclude that the equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5

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2 x minus y = negative 6 and 3 x minus y = negative 5

Step-by-step explanation:

y = 2(x+3) = 2x + 6 or 2x - y = -6

y = 5 + 3x or 3x - y = -5

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

step-by-step explanation:

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