1) X/4+10=14
A)96
B)46
C)16
D)-16
2) 2(2-2x)=-3x
A)-4
B)4
C)6
D)0
3) 3.75x+3.7=1.7+1.75x
A)10
B)-1
C)1
D).1
Answers :
B
C
C ???
#1 Nope. subtract 10, and you have x/4=4
#2 Nope. 4-4x = -3x
#3 Nope. 2x = -2
Either you are trying to take shortcuts, or you really need to review how to collect terms and solve an equation.
So it's C for number 1? @steve
correct
Thank you, now could you please explain the other two I'm just not getting it right
@steve
2(2-2x) = -3x
distribute the 2:
4-4x = -3x
now add 4x:
4 = x
---------------------------------------
3.75x+3.7 = 1.7+1.75x
subtract 1.75x:
2x + 3.7 = 1.7
subtract 3.7:
2x = -2
divide by 2:
x = -1
To solve these equations, we will use the concept of isolating the variable. The goal is to get the variable (x) on one side of the equation and the constant on the other side. Let's solve each equation step by step:
1) X/4 + 10 = 14
First, let's subtract 10 from both sides of the equation to isolate the x/4 term:
X/4 = 14 - 10
X/4 = 4
To eliminate the division by 4, we can multiply both sides of the equation by 4:
4 * (X/4) = 4 * 4
X = 16
Therefore, the answer is C) 16.
2) 2(2 - 2x) = -3x
Start by distributing the 2 on the left side of the equation:
4 - 4x = -3x
Next, let's move all the terms with x to one side of the equation:
-3x + 4x = 4
This simplifies to:
-x = 4
Finally, divide both sides of the equation by -1 to solve for x:
x = -4
Therefore, the answer is A) -4.
3) 3.75x + 3.7 = 1.7 + 1.75x
First, let's move all the terms with x to one side of the equation:
3.75x - 1.75x = 1.7 - 3.7
This simplifies to:
2x = -2
Finally, divide both sides of the equation by 2 to solve for x:
x = -1
Therefore, the answer is B) -1.
So, the correct answers to the given equations are:
1) C) 16
2) A) -4
3) B) -1