Which equation has no solution?
a. 3x-5=3x+8-x
b. 4y+5=4y-6
c. 7z+6=-7z-5
Is the answer c?
The answer is B. This is because when u subtract 4y to get it on the other side it cancels with the other 4y giving u 0=-11 which is an incorrect statement. for C) u get 14z= -11 and z is =/-11/14
Anyone here in 2021?????
To determine which equation has no solution, we need to simplify each equation and see if we end up with a true statement or a false statement. If we obtain a true statement, it means that the equation has infinitely many solutions. If we get a false statement, it means that the equation has no solution.
Let's solve each equation step by step:
a. 3x - 5 = 3x + 8 - x
To simplify this equation, first distribute the negative sign:
3x - 5 = 3x + 8 - x
3x - 5 = 3x - x + 8
Now, combine like terms:
3x - 5 = 2x + 8
Subtract 2x from both sides:
x - 5 = 8
Add 5 to both sides:
x = 13
Now we have found a value for x, which means the equation has a solution. Therefore, option a is not the correct answer.
b. 4y + 5 = 4y - 6
To solve this equation, we can subtract 4y from both sides:
4y + 5 - 4y = 4y - 6 - 4y
5 = -6
Since 5 is not equal to -6, we have obtained a false statement. This means that there is no value of y that satisfies the equation. Therefore, option b is the equation with no solution.
c. 7z + 6 = -7z - 5
Let's simplify this equation by subtracting 7z from both sides:
7z + 6 - 7z = -7z - 5 - 7z
6 = -14z - 5
Next, add 5 to both sides:
6 + 5 = -14z - 5 + 5
11 = -14z
To isolate z, divide both sides by -14:
11 / -14 = -14z / -14
-11/14 = z
So, we have found a value for z, which means the equation has a solution. Therefore, option c is not the correct answer.
To summarize, option b, 4y + 5 = 4y - 6, is the equation that has no solution.
3x-5=3x+8-x
3x -3x + x = 13
x = 13
The first problem has a solution.
Now you try the other two equations. I'll be glad to check your answer.