Solve by using your knowledge of the Distributive Property and combining like terms.
1. 5x-(9x-10)=34
-4x-10=34
-4x=44
X=-11
Did I solve this correctly? If not can someone please show me how to get the correct answer?
Can someone please help me?!
Can somebody please help me?
well, does -11 make the equation true? Coming up with an answer is only half the battle. You also need to know how to check to see whether it is correct.
5(-11)-(9(-11)-10)
= -55-(-99-10)
= -55-(-109)
= -55+109
= 54
So, I guess you made a mistake. You could have discovered that easily yourself. So, let's do it again:
5x-(9x-10)=34
5x-9x+10 = 34
-4x = 24
x = -6
Your mistake was not noticing that -(-10) = +10
So, checking with -6, we have
5(-6)-(9(-6)-10)
= -30-(-54-10)
= -30-(-64)
= -30+64
= 34
That's better, eh?
Good morning!
Thank you Mr. Steve for showing me how to do this problem.
To solve the equation 5x - (9x - 10) = 34, you can use the Distributive Property and combine like terms as follows:
Step 1: Distribute the negative sign to both terms inside the parentheses:
5x - 9x + 10 = 34
Step 2: Combine like terms:
-4x + 10 = 34
Step 3: To isolate the variable x, subtract 10 from both sides of the equation:
-4x = 34 - 10
-4x = 24
Step 4: To solve for x, divide both sides of the equation by -4:
x = 24 / -4
x = -6
So, the correct solution to the equation 5x - (9x - 10) = 34 is x = -6.
In your previous attempt, it seems like there was a mistake when you simplified -4x-10=34 to -4x=44. The term -10 should not have changed to +10 when you moved it to the other side of the equation. Instead, it becomes positive due to the sign change when moved to the other side, resulting in -4x + 10 = 34. Thus, the correct solution is x = -6, not -11.