Given 4x = 3y and y : z = 1 : 2
Find x in terms of z.
i am aware that the answer is x = 3/8z , but i would like the explanation behind it please so that i understand :)
Since y : z = 1 : 2, we can rewrite this as y = 2z.
Substituting this into the equation 4x = 3y, we get 4x = 3(2z).
Simplifying this equation, we get 4x = 6z.
Dividing both sides by 4, we get x = 3/8z.
i'm a bit confused as to where the 3/8z came from. if you divide both sides by 4, don't you get x = 3/2z ??
please help!
y/z = 1/2 so y z/2
4x=3y
4x = 3(z/2)
x = 3z/8
or, as the bot said, 3/8 z
To find the value of x in terms of z, we can follow these steps:
Step 1: Start with the given equation 4x = 3y.
Step 2: Rewrite the ratio y : z = 1 : 2 in terms of y. Since the ratio is given as 1 : 2, we can express y as y = (1/2)z.
Step 3: Substitute the value of y in terms of z into the equation from Step 1: 4x = 3((1/2)z).
Step 4: Simplify the equation: 4x = (3/2)z.
Step 5: Divide both sides of the equation by 4 to solve for x: x = (3/2z) * (1/4).
Step 6: Simplify the expression: x = (3/8)z.
Therefore, x is equal to (3/8)z.