Respuesta :
Answer:
Step 3.
Operation error, where the sign on the number changes from -ve to +ve where shifted to the left side of the equation.
Step-by-step explanation:
Given that 2(10 - 13x) + 9x = -34x + 60
Step 1. Distribute
20-26x+9x=-34x+60
Step 2: Combine like Terms
20-17x=-34x+60 -------------------------(-26x+9x = -17x)
Step 3: subtraction property of equality
-17x+34x=60-20--------------------- (60-20 =40)
-17x+34x=40
Step 4 :Addition property of Equality
-17x+34x=40-------------------(-17x+34x =17x)
17x=40
Step 5: Division property of Equality
17x=40
17x/17 = 40/17
x=40/17
Answer
x=40/17
Errors
In step 3
-17x+34x = 17 x and not 51x
In step 5
-51x=40
x=-40/51 (not the other way round, -51/40) however correct operation is supposed to be;
17x=40, hence x =40/17
Answer:
The step 4 and step 5 both are wrong.
Step-by-step explanation:
Consider the provided steps:
Given: [tex]2(10-13x)+9x=-34x+60[/tex]
Step 1: Distribute
[tex]20-26x+9x=-34x+60[/tex]
Step 2: Combine like terms
[tex]20-17x=-34x+60[/tex]
Step 3: Subtraction property of equality
[tex]20-20-17x=-34x+60-20[/tex]
[tex]-17x=-34x+40[/tex]
Step 4: Addition property of equality
[tex]-17x+34x=-34x+34x+40[/tex]
[tex]17x=40[/tex]
Step 5: Division property
[tex]x=\frac{40}{17}[/tex]
From the above calculation we can concluded that the step 4 and step 5 both are wrong.
Step 4 should be [tex]17x=40[/tex]
Step 5 should be [tex]x=\frac{40}{17}[/tex]