1. Solve the Following equation:
3(x-7)-x=2x-21
a. 7
b. -2
c. infinitely many solutions
d. no solution
2. Solve the Following equation:
4=2y=9+2y
a. 4
b. -4
c. infinitely many solutions
d. no solution
Can someone walk me through how to do these please? I don't understand it the way the textbook shows it.
4+2y=9+2y
0 = 5
No solution
3(x-7)-x=2x-21
3x - 21 - x = 2x - 21
2x - 2x = 21 - 21
0 = 0
Is there a typo in problem 2?
Oh, Uhm. Yes, Ms. Sue. It's supposed to be 4+2y not 4=2y.
so is the first one infinite, Ms. Sue?
Yes. Many solutions
Thanks Mrs. Sue!
You're welcome, Vae.
Thank you for every other person that kept their mouth shut and didn't put opinions about me.
Sure, I can help you with these equations.
1. Solve the equation: 3(x-7)-x=2x-21
To solve the equation, we need to simplify and rearrange it to isolate the variable, which in this case is 'x'.
Let's start by applying the distributive property to the left side of the equation:
3(x-7) - x = 2x - 21
3x - 21 - x = 2x - 21
2x - 21 = 2x - 21
Notice that we have '2x' on both sides, which suggests that the equation could have infinitely many solutions or no solution. To determine which case, we can continue by simplifying further:
Move all terms with 'x' to one side:
2x - 2x = -21 + 21
Simplifying, we have:
0 = 0
The resulting equation means that any value of 'x' will satisfy it since both sides are equal to zero. So, the answer is infinitely many solutions (option c).
2. Solve the equation: 4 = 2y = 9 + 2y
In this equation, it seems there is an error in the equation itself, where we have two equal signs between '2y'. We can assume it is a typo, and the equation should be:
4 = 2y - 9 + 2y
To solve this equation, we want to isolate the variable 'y'. Let's simplify it further:
Combine like terms on the right side:
4 = 4y - 9
Now, add 9 to both sides of the equation to isolate 'y':
4 + 9 = 4y - 9 + 9
13 = 4y
Finally, divide both sides of the equation by 4 to solve for 'y':
13/4 = y
Simplifying the fraction, we have:
y = 13/4 = 3.25
So, the solution is y = 3.25, which does not match any of the given options. Therefore, the answer is d) no solution.