Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions.

Equation 1 Equation 2
|5x − 6| = −41 |7x + 13| = 27
Equation 1 has more solutions than equation 2.

Equation 1 and Equation 2 have the same number of solutions.

Equation 2 has more solutions than Equation 1.

The number of solutions cannot be determined.

Question

Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions.

Equation 1	Equation 2
|5x − 6| = −41	|7x + 13| = 27
 Equation 1 has more solutions than equation 2.

 Equation 1 and Equation 2 have the same number of solutions.

 Equation 2 has more solutions than Equation 1.

 The number of solutions cannot be determined.

nurali · Answer

|5x − 6| = −41 |7x + 13| = 27 
Ans: 
Equation 1 
5x - 6 = -41 
5x = -41 + 6 
5x = -35 
5x/5 = -35/5 
x = -7 
Equation 2 
-27 = |7x + 13| = 27 
-27 = 7x + 13 
-27 - 13 = 7x 
-40 = 7x 
-40/7 = x 
-5.7143 = x 
7x + 13 = 27 
7x = 27 - 13 = 14 
7x/7 = 14/7 
x = 2 
x = -40/7, 2 
Comparing, Equation 1 has only 1 solution 
While Equation 2 has 2 solutions. 
Thus, 
[ Equation 2 has more solutions than Equation 1 ]

anonymous · Answer

you are my hero lol