Question

Drag each linear expression on the left to the equivalent expression on the right

Answer 1

(6y - 9) + (5 - 3y) have same result with 1/2(6y - 8)

(6y - 8) + (6 - 5y) and (6y - 12) - (5y - 10) have same result with 1/6(6y - 12)

(6y - 8) - (4y - 5) have same result with 1/3(6y - 9)

Explanation:

Left hand side:

(6y - 8) + (6 - 5y)

simplifying:

6y - 8 + 6 - 5y

y - 2

(6y - 9) + (5 - 3y)

simplifying:

6y - 9 + 5 - 3y

3y - 4

(6y - 12) - (5y - 10)

6y - 12 - 5y + 10

y - 2

(6y - 8) - (4y - 5)

6y - 8 - 4y + 5

2y - 3

Right hand side:

1/2(6y - 8) = 1/2 × 2(3y - 4) = 3y - 4

1/3(6y - 9) = 1/3 × 3(2y -3) = 2y - 3

1/6(6y - 12) = 1/6 ×6(y - 2) = y - 2

matching the expression:

(6y - 9) + (5 - 3y) have same result with 1/2(6y - 8)

(6y - 8) + (6 - 5y) and (6y - 12) - (5y - 10) have same result with 1/6(6y - 12)

(6y - 8) - (4y - 5) have same result with 1/3(6y - 9)