Answer:
Step-by-step explanation:
The main goal in any equation is to get the unknown variable all by itself. In this case that means moving the fraction of 7/8 over to the other side of the equals sign. On the left, the fraction is being subtracted; that means that to move it to the other side, we add it since adding is the opposite of subtracting.
On the left side, if you have 7/8 and then take that 7/8 away, it's gone completely. What we have now is
We need a common denominator so we can add 4 (which is 4/1) to 7/8. 8 is the common denominator.
and
giving us
Answer:
x = 44/19, y = 33/20
Step-by-step explanation:
Multiply the first eq by 18, to get:
90/y - 36/x = 39
so 36/x = 90/y - 39
in this form we can plug it into the second eq:
90/y - 39 - 24/y = 1 =>
66/y = 40 =>
y = 66/40 = 33/20
Fill that in the first:
100/33 - 2/x = 13/6 =>
200/66 - 143/66 = 2/x =>
57/66 = 2/x =>
57x = 2*66
x = 132/57 = 44/19
Entire distance is
25/2(1+1/4+(1/4*1/2))
=25/2(1+1/4+1/8)
=25/2(8/8+2/8+1/8)
=25/2(11/8)
=275/16
=17 3/16 miles [assuming you need fractions as answers]
Let the number be x.
First student increased the number by 23, therefore
⇒ x + 23
Second student decreased the number by 1, therefore
⇒ x - 1
The first student's result was 7 times greater than the result of the second student's, therefore
⇒ x + 23 = 7(x - 1)
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Solve for x:
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x + 23 = 7( x- 1)
x + 23 = 7x - 7
6x = 30
x = 5
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Answer: The number on the board is 5.
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It must have the same slope as the given line, so
m = -A/B = -1/-2 = 1/2
So far, we have
y = mx + b = x/2 + b
Use the given point to find b.
4 = -2/2 + b = -1 + b
b = 5
y = x/2 + 5
Multiply through by 2.
2y = x + 10
Standard form:
x - 2y = -10
