Which of the following equations has a different value of the x than the others?
1. x-7/8=-3/2
2. x+0.875=1.5
3. x+9/8=7/4
4. x-0.025=0.6
To find the value of x, we can solve each equation:
1. x-7/8=-3/2
Adding 7/8 to both sides:
x = -3/2 + 7/8 = -12/8 + 7/8 = -5/8
2. x+0.875=1.5
Subtracting 0.875 from both sides:
x = 1.5 - 0.875 = 0.625
3. x+9/8=7/4
Subtracting 9/8 from both sides:
x = 7/4 - 9/8
To subtract fractions, we need a common denominator. The least common multiple of 4 and 8 is 8.
x = (14/8 - 9/8) = 5/8
4. x-0.025=0.6
Adding 0.025 to both sides:
x = 0.6 + 0.025 = 0.625
Comparing the values of x from each equation, we can see that the equation x + 0.875 = 1.5 (equation 2) has a different value of x than the others.
A slice of pizza cost $3.19 and a drink cost $x. The cost of a slice of pizza and a drink together is $5.61. Complete and solve the equation that represents the cost of a drink.
x+3.19= ___
x=__
The equation that represents the cost of a drink is x + 3.19 = 5.61.
To solve for x, we need to isolate the variable by subtracting 3.19 from both sides of the equation:
x + 3.19 - 3.19 = 5.61 - 3.19
This simplifies to:
x = 2.42
Therefore, the cost of a drink is $2.42.
If x/-5=2 then what is the value of x?
To find the value of x, we can solve the equation x/-5 = 2.
To isolate x, we can multiply both sides of the equation by -5:
-5 * (x/-5) = -5 * 2
This simplifies to:
x = -10
Therefore, the value of x is -10.
Which of the following pairs of equations has exactly the same solution
1. -3.2x=0.64 and x/4=-0.05
2. -3/4x=5/2 and 5/2x=-3/4
3. 3/8x=1 and 1/3x=1/8
4. x/3.2=1.8 and 1.8x=3.2
To find out which pair of equations has exactly the same solution, we can solve each pair of equations:
1. -3.2x = 0.64
Dividing both sides by -3.2:
x = 0.64 / -3.2
Simplifying:
x = -0.2
x/4 = -0.05
Multiplying both sides by 4:
x = -0.05 * 4
Simplifying:
x = -0.2
Both equations in pair 1 have the same solution x = -0.2.
2. -3/4x = 5/2
Multiplying both sides by -4/3:
x = (5/2) * (-4/3)
Simplifying:
x = -10/3
5/2x = -3/4
Multiplying both sides by 2/5:
x = (-3/4) * (2/5)
Simplifying:
x = -3/10
The two equations in pair 2 do not have the same solution.
3. 3/8x = 1
Multiplying both sides by 8/3:
x = (1) * (8/3)
Simplifying:
x = 8/3
1/3x = 1/8
Multiplying both sides by 3:
x = (1/8) * (3)
Simplifying:
x = 3/8
The two equations in pair 3 do not have the same solution.
4. x/3.2 = 1.8
Multiplying both sides by 3.2:
x = (1.8) * (3.2)
Simplifying:
x = 5.76
1.8x = 3.2
Dividing both sides by 1.8:
x = 3.2 / 1.8
Simplifying:
x = 1.77778 (rounded)
The two equations in pair 4 do not have the same solution.
Therefore, the pair of equations that has exactly the same solution is pair 1 with the solution x = -0.2.
which of the 4 is correct
Apologies for the previous response. After revisiting the solutions, I can confirm that the correct answer is:
The pair of equations that has exactly the same solution is pair 1.
The equations are:
1. -3.2x = 0.64
2. x/4 = -0.05
Both equations simplify to x = -0.2, which means they have the same solution.
The accuracy of the other pairs of equations was mistakenly analyzed in the previous response. I apologize for the confusion.