Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
Answer:
At this point just choose a mean thats half of the value
Answer:
x = 19
Step-by-step explanation:
The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.
x-coefficient: -1/3
inverse of x-coefficient = 1/(-1/3) = -3
Then you have ...
1 5/8 = 13/
8
= 1 5/
8
= 1.625
Spelled result in words is thirteen eighths (or one and five eighths).
How do you solve fractions step by step?
Conversion a mixed number 1 5/
8
to a improper fraction: 1 5/8 = 1 5/
8
= 1 · 8 + 5/
8
= 8 + 5/
8
= 13/
8
To find new numerator:
a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/
8
= 8/
8
b) Add the answer from previous step 8 to the numerator 5. New numerator is 8 + 5 = 13
c) Write a previous answer (new numerator 13) over the denominator 8.
One and five eighths is thirteen eighths
