Question

Determine which equation is false based on the solution set.

S:{5}

A: 6 = 2y − 4
B: 4(b + 5) = 40
C: one fifth times x plus 16 equals 17
D: −32 = 2(3p − 6)

Answer 1

A. 6=2y-4
3=y-4
7=y

6/2=3
4+3=7

Answer 2

d) -32 = 2(3p - 6) is false.

Explanation:

A) 6 = 2y - 4

→ 6 = 2(5) - 4

→ 6 = 10 - 4

→ [ 6 = 6 ]

So, the equation is true.

B) 4(b + 5) = 40

→ 4(5 + 5) = 40

→ 4(10) = 40

→ [ 40 = 40 ]

So, the equation is true.

C) (1/5)x + 16 = 17

→ (5/5) + 16 = 17

→ 1 + 16 = 17

→ [ 17 = 17 ]

So, the equation is true.

D) -32 = 2(3p - 6)

→ -32 = 2(15 - 6)

→ -32 = 2 × 9

→ [ -32 ≠ 18 ]

So, the equation is false.