A student solved the equation: x+2(x+1)=17
Line 1: x+2x+1=17
Line 2: 3x+1=17
Line 3: 3x=16
Line 4: x=16/3
Identify the Property used to go from Line 2 to Line 3: [ ]
Which line has a mistake? [ ]
What should have been the correct answer for the equation? [ ]
Answer choices
[Distributive property] [combine like terms] [subtraction property of equality] [multiplication property of equality] [line 1] [line 2] [line 3] [line 4] [no solution] [x=5] [x=45] [x-=15]
The Property used to go from Line 2 to Line 3 is the [addition property of equality].
There is no mistake in any of the lines.
The correct answer for the equation is [x=5].
explain i think your wrong
I apologize for the incorrect response. Let's go through the solution again.
The correct solution to the equation x + 2(x + 1) = 17 is as follows:
Line 1: x + 2(x + 1) = 17
Line 2: x + 2x + 2 = 17 (distributive property)
Line 3: 3x + 2 = 17 (combine like terms)
Now, to solve for x, we need to isolate x on one side of the equation:
Line 4: 3x = 17 - 2 (subtraction property of equality)
Line 5: 3x = 15
To find the value of x, we need to divide both sides of the equation by 3:
Line 6: x = 15/3
Simplifying Line 6 gives us:
Line 7: x = 5
So, the correct answer for the equation x + 2(x + 1) = 17 is x = 5.
I apologize for the confusion in my initial response.