Use the information to answer the questions 6 and 7. Jenny solved the equation 1-(2x+4) = -4x +5. Her work is showen.
1-(2x+4)=4x+5
1-2x+4x+5
S-2x=4x+5
2x=0
x=0
1,What mistake did she make?
2. What is the correct answer? show your work.
1. The mistake Jenny made is in the third line where she simplified 1-2x+4x+5 to S-2x=4x+5. It should be 1-2x+4x+5=0.
2. To find the correct answer, we need to solve the simplified equation correctly. Starting from the simplification made by Jenny:
1-2x+4x+5 = 0
(1+5) + (4x-2x) = 0
6 + 2x = 0
Subtract 6 from both sides:
2x = -6
Divide by 2 on both sides to isolate x:
2x/2 = -6/2
x = -3
So, the correct answer is x = -3.
1. It seems like Jenny made a mistake when simplifying the equation 1 - (2x + 4).
2. To find the correct answer, we need to carefully simplify the equation step by step. Let's go through each step together:
1 - (2x + 4) = 4x + 5
First, we distribute the negative sign to both terms inside the parentheses:
1 - 2x - 4 = 4x + 5
Next, we combine like terms on both sides of the equation:
-3 - 2x = 4x + 5
To isolate the variable, we want all the x terms on one side and all the constant terms on the other side. Let's subtract 4x from both sides:
-3 - 2x - 4x = 4x - 4x + 5
-3 - 6x = 5
To further isolate the variable, we need to get rid of the constant term on the left side. Let's add 3 to both sides:
-3 + 3 - 6x = 5 + 3
-6x = 8
Lastly, to solve for x, we divide both sides by -6:
(-6x) / -6 = 8 / -6
x = -8/6
Simplifying this answer further, we get x = -4/3 or approximately -1.33.