Do the math the same way you would if all the other variables were numbers. For linear equations such as these, you can
• subtract one side of the equation, so you get an equation equal to zero.
• factor out the variable of interest
• subtract all terms that don't have the variable as a factor
• divide by the coefficient of the variable.
19. 2xy - x - 7 = 0 . . . . subract the right side
x(2y-1) -7 = 0 . . . . factor out x
x(2y -1) = 7 . . . . subtract the term(s) not containing x. Subtract -7 here.
x = 7/(2y -1) . . . . divide by the coefficient of x
20. Usually for these, you would eliminate fractions first. (You don't have to, but it does simplify things a bit.)
2d + f = 24 . . . . multiply the equation by 4 to eliminate fractions
f = 24 - 2d . . . . subtract the term not involving f
21. We can go back to the above sequence of steps here, if you like.
3(2j -k) -108 = 0 . . . . subtract the right side
6j -3k -108 = 0 . . . . separate the j terms from the others (eliminate parentheses using the distributive property)
6j = 108 + 3k . . . . add the opposite of the non-j terms
j = 108/6 + 3k/6 . . . . divide by the coefficient of j
j = 18 + k/2 . . . . simplify
22. "solve for" variable not specified.
t = (3.5s -42)/4
s = (4t+42)/3.5
In both cases, the 3.5 can be replaced by 7/2 and the fraction simplified.
t = (7/8)(s-12)
s = 12 + (8/7)t
Answer:
714
Step-by-step explanation:
31(28)=868
14(11)=154
868-154=714
Wouldn't it be 25 percent? 4 cards at a random chance, 100%/ 4= 25%.
The common factors of the numbers 18 and 30 is 6
<h3>How to determine the common factors of the numbers?</h3>
The numbers are given as
18 and 30
Express 18 and 30 as a product of its factors
So, we have
18 = 2 * 3 * 3
30 = 2 * 3 * 5
Multiply the common factors in the above expression
Common factors = 2 * 3
Evaluate the product
So, we have
Common factors = 6
Hence, the common factors of the numbers 18 and 30 is 6
Read more about common factors at
brainly.com/question/219464
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Answer:
54
Step-by-step explanation:
6(1-(-8))
6(9)
54
