113k views
2 votes
How many solutions does the following equation have? 3z+9+14z=4z+5

1 Answer

5 votes

Final answer:

The given equation is simplified to find the value of z, resulting in exactly one solution for the linear equation.

Step-by-step explanation:

The equation given is 3z + 9 + 14z = 4z + 5. To find out how many solutions the equation has, we first need to collect like terms on each side of the equation.

Combining the terms with z on the left-hand side, we get 17z + 9 = 4z + 5.

Next, we'll subtract 4z from both sides to get all the z terms on one side, resulting in 13z + 9 = 5.

Finally, subtract 9 from both sides to solve for z, leaving us with 13z = -4.

Dividing both sides by 13 gives us z = -4/13 or approximately z = -0.31.

Since this is a linear equation in one variable and we found a value for z, the equation has exactly one solution.

User Limey
by
7.8k points

Related questions

1 answer
3 votes
141k views
asked Jan 8, 2020 181k views
Ariel Capozzoli asked Jan 8, 2020
by Ariel Capozzoli
8.5k points
1 answer
1 vote
181k views
2 answers
0 votes
20.3k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories