Solve the following equation
-7=11/17z
A.z=-17/77
B.z=-77/17
C.z=119/17
D.z=17/119
Which equation is an identity
A.7-(9x+3)=-9x-4
B.6m-5=7m+5-m
C.10p+6-p=12p-3(p-2)
D.3y+2=3y-2
Which equation has no solution
A.5m-6=5m+7-m
B.3w+4-w=5w-2(w-2)
C.7y+9=7y-6
D.4z+8=4z-2
why can't y'all just say the answer like BAHAHHAHAHHA
To solve the equation -7 = 11/17z, you can follow these steps:
Step 1: Multiply both sides of the equation by 17 to eliminate the fraction:
-7 * 17 = (11/17z) * 17
-119 = 11z
Step 2: Divide both sides of the equation by 11 to solve for z:
-119 / 11 = (11z) / 11
z = -119 / 11
Simplifying further, you can divide -119 by 11 to get the value of z:
z ≈ -10.818
So, the correct answer is:
A. z = -17 / 77
To determine which equation is an identity, you need to check if the equation holds true for all values of the variable. Let's go through each option:
A. 7 - (9x + 3) = -9x - 4
To check if it's an identity, you can simplify both sides:
7 - 9x - 3 = -9x - 4
4 - 9x = -9x - 4
By simplifying further, you can see that the variable cancels out on both sides:
4 = -4
Since this equation is not true for any value of x, it is NOT an identity.
B. 6m - 5 = 7m + 5 - m
Simplifying both sides:
6m - 5 = 6m
Again, the variable cancels out:
-5 = 0
Since this equation is not true for any value of m, it is also NOT an identity.
C. 10p + 6 - p = 12p - 3(p - 2)
Simplifying both sides:
9p + 6 = 12p - 3p + 6
On further simplification, you see that the variables cancel out:
6 = 6
This equation holds true for all values of p, so it is an identity.
D. 3y + 2 = 3y - 2
Simplifying both sides:
2 = -2
This equation is not true for any value of y, so it is NOT an identity.
Therefore, the equation that is an identity is:
C. 10p + 6 - p = 12p - 3(p - 2)
To determine which equation has no solution, let's analyze the options:
A. 5m - 6 = 5m + 7 - m
Simplifying both sides:
-6 = 7
This equation is not true for any value of m, so it has no solution.
B. 3w + 4 - w = 5w - 2(w - 2)
Simplifying both sides:
4 = 5w - 2w + 4
Further simplification:
4 = 3w + 4
By subtracting 4 from both sides:
0 = 3w
This equation is true only for w = 0, so it does have a solution.
C. 7y + 9 = 7y - 6
Simplifying both sides:
9 = -6
This equation is not true for any value of y, so it has no solution.
D. 4z + 8 = 4z - 2
Simplifying both sides:
8 = -2
This equation is not true for any value of z, so it also has no solution.
Therefore, the equation that has no solution is:
C. 7y + 9 = 7y - 6
#1, multiply both sides by 17/11
#2, to have an identity, the left side of the equation must equal the right side of the equation.
Simplify each equation to test
#3, to have "no solution", the variables must drop out, and you must end up with a false statement , such as 8 = 9