Question

A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If

y represents the larger number and x represents the smaller number, which equations model the situation? Check all that
apply.
y = 3x-2
3x-y = 2
3x-y=-2
y=2-3x
Dy=2(x+3)

Answer 1

Explanation:

y > x

y = 2(3+x)

y = 3x-2

------------------------------

2(3+x) = 3x-2

2(3+x) - (3x-2) = 0

6 + 2x -3x + 2 = 0

8 -x = 0

x = 8

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y = 2(3+x) = 2(3+8) = 22

y = 3x-2 = 3*8 -2 = 22

----------------------------------

x = 8 ; y = 22

Answer 2

A. y = 3x - 2

B. 3x - y = 2

E. y=2(x + 3)

Explanation:

Let's say the larger number is y and the smaller number is x.

From the sentence "A larger number is double the sum of 3 and a smaller number", we can write the equation: y = 2 * (3 + x).

From the sentence "The larger number is 2 less than 3 times the smaller number", we can write the equation: y = 3x - 2.

With the second equation (y = 3x - 2), we can write this as: 3x - y = 2.

Thus, the choices that will work are A, B, and E.

Hope this helps!