Answer:
y = 5 and x = -3
Step-by-step explanation:
Given,
y = x + 8 ...............( equation 1 )
x + y = 2 ...............( equation 2 )
Now, by substituting the value of y in equation 2, we get;
⇒ x + x + 8 = 2
⇒ x = -3
and now, by substituting the value of x in equation 1, we get;
⇒ y = -3 + 8
⇒ y = 5
The ratio of water to sugar would be 4:1 or 4 to 1.
Hope this helps!
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For this problem, you need to substitute 4 in for your variable t. the original equation is S(t) and the one you need is S(4) -- in other words, evaluate this equation when t = 4.
S(4) = 9(4) - 4
S(4) = 36 - 4
S(4) = 32 is your answer.
Simplify :
12+-5x+6x=4
combine like terms :
-5x+6x=1x
12+1x=4
solving :
12+1x=4
solving for variable ‘x’
move all terms containing x to the left, all other terms to the right, add ‘-12’ to each side of the equation
12+-12+1x=4+-12
combine like terms:
then divide each side
your answer : x=-8
Using proportions, the value of x that makes the triangle similar is of x = 14.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we want the triangles to be similar, hence the lengths of it's sides follow the proportion given next:

Applying cross multiplication:
6x = 12 x 7
x = 2 x 7
x = 14.
The value of x that makes the triangle similar is of x = 14.
More can be learned about proportions at brainly.com/question/24372153
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