1: 4/5 = 8/x + 2
x=4
x=9.5
x = 2
x = 8
2. 2/3 = 1.2/x
x = 18
x = 1.8
x = 0.2
x = 10
My answers:
1. x = 8
2. x = 0.2
1. yes
2. no
whats the answer to number 2
2/3=1.2/x
2/3 (x)=1.2
2(x)=3.6
divide by 2 on both sides.
x=1.8
To solve the equations, we need to isolate the variable on one side of the equation. Here's how you can find the solutions step by step:
1. 4/5 = 8/x + 2
To isolate the variable x, we need to eliminate the 2 on the right side of the equation. We can do this by subtracting 2 from both sides:
4/5 - 2 = 8/x
-6/5 = 8/x
Next, we can cross multiply to get rid of the fractions:
-6x = 40
Finally, divide both sides by -6 to solve for x:
x = 40 / -6
Simplifying the fraction gives us:
x = -20/3
So the correct value for x is x = -20/3 or approximately x = -6.67.
However, none of the options provided match this solution, so there seems to be an error in the equation or answer choices.
2. 2/3 = 1.2/x
Similarly, to isolate the variable x, we can start by multiplying both sides of the equation by x:
(2/3) * x = 1.2
Next, cross multiply to eliminate the fraction:
2x = (1.2) * (3)
2x = 3.6
Finally, divide both sides by 2 to solve for x:
x = 3.6 / 2
Simplifying the fraction gives us:
x = 1.8
Hence, the solution to the equation is x = 1.8, which matches the second option given.