Question

Explain why 2(z – 1) = 4(z + 5) has one solution. Choose the best response below.

A. The coefficients of z are the same, but the constant terms are different.
B. The coefficients of z are the same, but the constant terms are the same.
C. The coefficients of z are the same, and the constant terms are the same.
D. The coefficients of z are different, and the constant terms are different.

Answer 1

First to answer

Answer:

A. The coefficients of z are the same, but the constant terms are different.

Step By step Explanation:

2(z – 1) = 4(z + 5)

Step 1: Simplify both sides of the equation.

2(z−1)=4(z+5)

(2)(z)+(2)(−1)=(4)(z)+(4)(5)(Distribute)

2z+−2=4z+20

2z−2=4z+20

Step 2: Subtract 4z from both sides.

2z−2−4z=4z+20−4z

−2z−2=20

Step 3: Add 2 to both sides.

−2z−2+2=20+2

−2z=22

Step 4: Divide both sides by -2.

−2z/−2 = 22/−2

z=−11

The coefficients for z are the same, but the constants are different.