Which equation has no solution? (1 point) Responses 5v + 3 = 5v – 5 5 v + 3 = 5 v – 5 2x – 4 = 2x + 7 – x 2 x – 4 = 2 x + 7 – x 2y + 5 – y = 2y – 3(y – 6) 2 y + 5 – y = 2 y – 3( y – 6) 7z + 9 = –7z – 6
The equation that has no solution is: 5v + 3 = 5v - 5.
The equation that has no solution is 7z + 9 = -7z - 6.
To determine which equation has no solution, we need to solve each equation and see if the solution exists.
Let's solve each equation:
1) 5v + 3 = 5v – 5
To solve this equation, we'll isolate the variables:
5v - 5v = -5 - 3
0 = -8
The equation simplifies to 0 = -8, which is not possible. This equation has no solution.
2) 2x – 4 = 2x + 7 – x
Simplifying the equation:
2x - 4 = x + 7
To isolate the variables, we'll move the x terms to one side:
2x - x = 7 + 4
x = 11
The equation has a unique solution, x = 11.
3) 2y + 5 – y = 2y – 3(y – 6)
Simplify the equation:
y + 5 = 2y - 3y + 18
Combine like terms:
y + 5 = -y + 18
To isolate the variables, we'll move the y terms to one side:
y + y = 18 - 5
2y = 13
y = 6.5
The equation has a unique solution, y = 6.5.
4) 7z + 9 = –7z – 6
Simplify the equation:
7z + 7z = -6 - 9
14z = -15
z = -15/14
The equation has a unique solution, z = -15/14.
In conclusion, only the first equation, 5v+3=5v-5, has no solution.