Solve.
1.) 7/33y = -56/3
2.) 8/11k = 29/44
1)
7(3) = -56(33y)
7(3)/ (-56)(33) = y
2)
(8)(44) = (29)(11k)
(8)(44)/(29)(11) = k
Can you finish from here? You can make the math a little simpler by cancelling.
I suspect the intent was
(7/33)y = -56/3
y = (-56/3)(33/7)
y = -88
and similarly for the other one.
To solve equations involving variables, we need to isolate the variable on one side of the equation. Let's solve each equation step by step:
1.) 7/33y = -56/3
First, we can simplify the equation by multiplying both sides by the reciprocal of 7/33, which is 33/7:
(7/33y) * (33/7) = (-56/3) * (33/7)
y = (-56/3) * (33/7)
Next, we simplify the right side of the equation:
y = (-56 * 33) / (3 * 7)
Now, we can perform the multiplication and division:
y = -1848 / 21
y = -88
So the solution to the equation is y = -88.
2.) 8/11k = 29/44
We can simplify this equation by multiplying both sides by the reciprocal of 8/11, which is 11/8:
(8/11k) * (11/8) = (29/44) * (11/8)
k = (29/44) * (11/8)
Next, we simplify the right side of the equation:
k = (29 * 11) / (44 * 8)
Now, we can perform the multiplication and division:
k = 319 / 352
So the solution to the equation is k = 319/352.