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.

Answer 1

y = 3x - 2

3x - y = 2

y = 2(x + 3)

Explanation:

y = the larger number

x = the smaller number

A larger number is double the sum of 3 and a smaller number

y = 2(x + 3)

y = 6 + 2x

The larger number is 2 less than 3 times the smaller number.

y = 3x - 2

Make -2 the subject

y - 3x = -2

Make 2 the subject

y = 3x - 2

y - 3x = -2

(y - 3x) * -1 = -2 * -1

-y + 3x = 2

3x - y = 2

The answers:

y = 3x - 2

3x - y = 2

y = 2(x + 3)