answer the question which of the following pairs the equations as equally the same solution 3/8 x = 1 1/3 x equals to 1/8 1/8 negative 3/4 x = 5/2 and 5/2 x = - 3/4 x over 3.2 equals 1.8 and 1.8 x equals 3.2 -3.2 x = 0.64 and 6X over 4 equals negative 0.05 what's your answer and explain
The pair of equations that have the same solution is:
1/8 - 3/4x = 5/2 and 2x/3.2 = 1.8
To solve the first equation, we can multiply everything by 8 to get rid of the fractions:
8*(1/8) - 8*(3/4x) = 8*(5/2)
1 - 6x = 20
-6x = 19
x = 19/(-6)
x = -19/6
Now let's solve the second equation:
2x/3.2 = 1.8
Multiply both sides by 3.2 to get rid of the decimal:
2x = 1.8 * 3.2
2x = 5.76
x = 5.76/2
x = 2.88
So, the solutions to both equations are different. The first equation has x = -19/6 and the second equation has x = 2.88.
answer the question which of the following pairs the equations as equally the same solution
3/8 x = 1/3 x equals to 1/8
-3/4 x = 5/2 and 5/2 x = - 3/4
x/3.2 equals 1.8 and 1.8 x equals 3.2
-3.2 x = 0.64 and X/4 equals negative 0.05
what's your answer and explain
The pair of equations that have the same solution is:
-3/4 x = 5/2 and 5/2 x = - 3/4
To solve the first equation, we can cross multiply:
-3(2) x = 4(5)
-6x = 20
x = 20/(-6)
x = -10/3
Now let's solve the second equation:
5/2 x = - 3/4
Cross multiply:
5(4) x = 2(-3)
20x = -6
x = -6/20
x = -3/10
Both equations have the same solution of x = -3/10 or -0.3.
its wrong... it is -3.2x=0.64 and x/4=-0.05
explain why
Apologies for the incorrect explanation in the previous response. Let's solve the equations correctly.
The pair of equations that have the same solution is:
-3.2x = 0.64 and x/4 = -0.05
Solving the first equation:
-3.2x = 0.64
To isolate x, divide both sides of the equation by -3.2:
x = 0.64 / -3.2
Simplifying,
x = -0.2
Now let's solve the second equation:
x/4 = -0.05
To isolate x, multiply both sides of the equation by 4:
4(x/4) = 4(-0.05)
Simplifying,
x = -0.2
Both equations have the same solution of x = -0.2.