Which of the following pairs of equations has exactly the same solution?(1 point)
Responses
3/8x=1 and 1/3x=1/8
Start Fraction 3 over 8 End Fraction x equals 1 and Start Fraction 1 over 3 End Fraction x equals Start Fraction 1 over 8 End Fraction
−3.2x=0.64 and x4=−0.05
negative 3.2x equals 0.64 and Start Fraction x over 4 End Fraction equals negative 0.05
x3.2=1.8 and 1.8x=3.2
Start Fraction x over 3.2 End Fraction equals 1.8 and 1.8x equals 3.2
−3/4x=5/2 and 5/2x=−3/4
negative Start Fraction 3 over 4 End Fraction x equals Start Fraction 5 over 2 End Fraction and Start Fraction 5 over 2 End Fraction x equals negative Start Fraction 3 over 4 End Fraction
use number form
wrong
My apologies for the mistake. Let's solve the equations correctly:
To determine which pair of equations have the same solution, we need to solve each pair of equations and see if the solutions match.
Pair 1:
3/8x = 1
1/3x = 1/8
To solve the first equation, we can multiply both sides by 8 to get rid of the fraction:
8 * (3/8x) = 8 * 1
3x = 8
x = 8/3
To solve the second equation, we can multiply both sides by 8 to get rid of the fraction:
8 * (1/3x) = 8 * (1/8)
8/3x = 1
x = 3/8
The solutions for the first pair of equations are x = 8/3 and x = 3/8.
Pair 2:
-3.2x = 0.64
(x/4) = -0.05
To solve the first equation, we can divide both sides by -3.2:
-3.2x / -3.2 = 0.64 / -3.2
x = -0.2
To solve the second equation, we can multiply both sides by 4 to get rid of the fraction:
4 * (x/4) = 4 * (-0.05)
x = -0.2
The solutions for the second pair of equations are x = -0.2 and x = -0.2.
Both pairs of equations have the same solution, x = -0.2.
-3/4x=5/2 and 5/2x=-3/4
-3/4x = 5/2 can be rewritten as -0.75x = 2.5
5/2x = -3/4 can be rewritten as 2.5x = -0.75
Therefore, the pair of equations that has exactly the same solution is -0.75x = 2.5 and 2.5x = -0.75.