If x/-2 =7, Then what is the value of x?
Show ur work pls
To find the value of x, we will isolate x in the equation.
Given: x / -2 = 7
To isolate x, we can multiply both sides of the equation by -2, which is the reciprocal of -1/2.
(-2) * (x / -2) = (-2) * 7
This simplifies to:
x = -14
Therefore, the value of x is -14.
Which of the following pairs of equations has exactly the same solution?
A. -x =0.42 and x/3 = -.07
B. -4/2x = 7/8 and 8 = -21/2
C. 2/3x = 1 and 1/3x = 3/4
D. x/3.2 = 1.8 and 1.8x = 3.2
Show your work pls.
To determine which pair of equations has exactly the same solution, we need to solve each equation separately and assess if they yield the same value of x.
A. -x = 0.42
To isolate x, we can multiply both sides by -1:
(-1)*(-x) = (-1)*(0.42)
x = -0.42
x/3 = -0.07
Multiplying both sides by 3:
(3)*(x/3) = (3)*(-0.07)
x = -0.21
As the values of x in the two equations are different (-0.42 and -0.21), option A does not have exactly the same solution.
B. -4/2x = 7/8
To simplify and isolate x, we can multiply both sides by -2/4:
(-2/4)*(-4/2x) = (-2/4)*(7/8)
x = -14/8
8 = -21/2
This equation simplifies to:
x = -21/16
The values of x in the two equations are different (-14/8 and -21/16), so option B does not have exactly the same solution.
C. 2/3x = 1
To isolate x, we can multiply both sides by 3/2:
(3/2)*(2/3x) = (3/2)*(1)
x = 3/2
1/3x = 3/4
Multiplying both sides by 3:
(3)*(1/3x) = (3)*(3/4)
x = 9/4
The values of x in the two equations are different (3/2 and 9/4), so option C does not have exactly the same solution.
D. x/3.2 = 1.8
To isolate x, we can multiply both sides by 3.2:
(3.2)*(x/3.2) = (3.2)*(1.8)
x = 5.76
1.8x = 3.2
Dividing both sides by 1.8:
(1.8x) / 1.8 = (3.2) / 1.8
x = 1.78
The values of x in the two equations are different (5.76 and 1.78), so option D does not have exactly the same solution.
After evaluating all the options, we conclude that none of the pairs of equations have exactly the same solution.