Delete as this is the wrong answer. Made a typo in the answer.
Answer:
x = 
y = 24
Step-by-step explanation:
-3x - 8y = 20 .... (1)
-5x + y = 19 .... (2)
What we can do is take the (2) equation
-5x + y = 19
and solve for y by adding 5x to both sides
y = 24
now that we have y we substitute it in for y in equation (1)
-3x - 8(24) = 20
-3x - 192 = 20
we want to solve for x so we need to get its self.
add 192 to both sides
-3x = 212
now we divide both sides by -3. It's going to be a fraction.
x = 
Answer:
the equation is
y = 0.75x
And, the constant of proportionality is 0.75
Step-by-step explanation:
The computation is shown below:
Given that
4y = 3x
And,
12y = 9x
Here the equation that represent proportional relationship is
4y = 3x
Divide both sides by 4
y = 3x ÷ 4
Now
12y = 9x
divides both sides by 12
y = 9 ÷ 12x
y = 3 ÷ 4x
y = 0.75x
so the equation is
y = 0.75x
And, the constant of proportionality is 0.75
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have


The least common multiple are those common and non-common numbers with the greatest exponent
so

1/2 and 1/6 because there is heads and tails and to get probability of tails it is 1/2 and you can get 6 only one time so 1/6
You can use Substitution to solve this problem:
4x-y=20
-y=-4x+20
y=4x-20
Now you have two equations, and you use the first one to substitute into the second one.
y=4x-20 and -2x-2y=10
-2x-2(4x-20)=10
-2x-8x+40=10
-10x+40=10
-10x=-30
-x=-3
x=3
Now that we have figured out what x is, we can substitute x in to one of the equations to figure out y.
4x-y=20 x=3
4(3)-y=20
12-y=20
-y=8
y=-8
<em><u>So your answer would be x=3 and y=-8</u></em>