PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!
2 answers:
-9x + 4y = 55. –------------- (1)
-11x + 7y = 82. ---------------(2)
Multiply (1) with 7 and (2) with 4. we get
-63x + 28y = 385 ----------(3)
-44x + 28y = 328 ----------(4)
Subtract (4) from (3). you will get
-19x = 57
=> x = 57/(-19)
=> x = -3
Put value of x in (1)
-9×(-3) + 4y = 55
=> 27 + 4y = 55
=> 4y = 55 - 27
=> 4y = 28
=> y = 28/4 = 7
-11x + 7y = 82. ---------------(2)
Multiply (1) with 7 and (2) with 4. we get
-63x + 28y = 385 ----------(3)
-44x + 28y = 328 ----------(4)
Subtract (4) from (3). you will get
-19x = 57
=> x = 57/(-19)
=> x = -3
Put value of x in (1)
-9×(-3) + 4y = 55
=> 27 + 4y = 55
=> 4y = 55 - 27
=> 4y = 28
=> y = 28/4 = 7
(x, y) → (- 3, 7)
Using the method of elimination. That is manipulate the equations so that the coefficients of one of the variables are equal then add/subtract to eliminate it and solve for the other variable.
-9x + 4y = 55 → (1)
-11x + 7y = 82 → (2)
eliminating the terms in x
multiply equation (1) by 11
-99x+ 44y = 605 → (3)
multiply equation (2) by (- 9)
99x - 63y = - 738 → (4)
add (3) and (4) to eliminate x
- 19y = - 133
divide both sides by (- 19)
y = = 7
substitute y = 7 into (1)
- 9x + 28 = 55
- 9x = 55 - 28 = 27
x = = - 3
solution to system = (- 3, 7)
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Answer:
A. Unit rate.
Step-by-step explanation:
We have been given a statement and we are supposed to choose the correct option for our given statement.
Statement:
A constant of proportionality can also be considered a(n) <u> </u> .
Since we know that constant of proportionality represents the amount by which two proportional quantities vary.
Two quantities are directly proportional, when they are in form , where k represents the constant of proportionality.
We can represent this proportion also as:
Since k represents the quotient of y and x, so the value of k represents the unit rate for two quantities y and x, therefore, a constant of proportionality can also be considered an unit rate.