Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25

Answers

Answer 1

Answer: $\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\n3x+4y=25&/\cdot3\end{array}\right\n+\left\{\begin{array}{ccc}-10x-12y=-18\n9x+12y=75\end{array}\right\n------------\n.\ \ \ \ \ \ \ -x=57\n.\ \ \ \ \ \ \ \ \ x=-57\n\n3\cdot(-57)+4y=25\n-171+4y=25\n4y=25+171\n4y=196\ \ \ \ /:4\ny=49\n\nSolution:x=-57;\ y=49.$

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How old would you be if you were born 10 years ago

Answers

I would be five years old if I was born 10 years ago

Which is equivalent to 4y-2x=16

Answers

x-intercept. y-intercept
4*0-2x=16. 4y-2*0=16
-2x+0=16. 4y-0=16
-0. -0. +0 +0
-2x. /-2 = 16/-2 4y/4 =16/4
x = -8. y = 4
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Six people are standing in line for concert tickets. Their average age is 27. the average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?

Answers

Total age
6 * 27
162

Subtotal age of first 4
4 * 23
92

Subtotal of last 3
3 * 34
102

In the total of the first 4 and last 3
the 4th person has been counted twice.
This second time must be subtracted.

Therefor
92 + 102 - x = 162
194 - x = 162

Subtract 194 from both sides
-x = -32

Multiply both sides by -1
x = 32

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What number must be added to 36 to obtain −12

Answers

The correct answer is -48

36 + x = -12
X = -12 - 36
x = -48

36 + (-48) = -12
36 - 48 = -12

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