Question

How many solutions does the equation have?

9z+10=1−3(5−3z)

Answer 1

9z + 10 = 1 - 3(5 - 3z) use distributive property

9z + 10 = 1 + (-3)(5) + (-3)(-3z)

9z + 10 = 1 - 15 + 9z

9z + 10 = -14 + 9z subtract 9z from both sides

10 = -14 FALSE

NO SOLUTION

Answer: zero solutions.

Answer 2

`\sf \: z = no \: solution`

Explanation:

Given equation,

→ 9z + 10 = 1 - 3(5 - 3z)

Now the value of z will be,

→ 9z + 10 = 1 - 3(5 - 3z)

→ 9z + 10 - 1 = -15 + 9z

→ 9z + 9 = -15 + 9z

→ 9z - 9z = -15 - 9

→ 0 = -24

→ [ z = no solution ]

Hence, there is no solution.