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belka [17]
3 years ago
6

Solve 2x+3y=2 5x-y=-29 By elimination

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

\huge\boxed{x=-5,\ y=4\to(-5,\ 4)}

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+3y=2\\5x-y=-29&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+3y=2\\15x-3y=-87\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad17x=-85\qquad\text{divide both sides by 17}\\.\qquad\dfrac{17x}{17}=\dfrac{-85}{17}\\.\qquad\boxed{x=-5}\\\\\text{Substitute it to the second equation:}\\\\5(-5)-y=-29\\\\-25-y=-29\qquad\text{add 25 to both sides}\\\\-25+25-y=-29+25\\\\-y=-4\qquad\text{change the signs}\\\\\boxed{y=4}

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What is the greatest common factor of 60 and 72
Tcecarenko [31]
Well there both even numbers so the gcf factor would have to be even also

60 = 1,2,3,4,5,6,10,12,15,20,30,60

72 = 1,2,3,4,6,8,9,12,18,24,36,72

The Gcf would be 12
3 0
3 years ago
The average value of y=v(x) equals 4 for 1≤x≤6, and equals 5 for 6≤x≤8. what is the average value of v(x) for 1≤x≤8 ?
Tomtit [17]
The average value over the interval is the area under the curve divided by the width of the interval.

Area = 4*(6 -1) +5(8 -6) = 30
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7 0
2 years ago
HELP PLEASE I honestly need help please help
eduard

9514 1404 393

Answer:

  5.  x = 160; y = 20

  6.  h = 125°; g = i = 55°

Step-by-step explanation:

Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.

5. x° and 160° are vertical angles: x° = 160°

  y° and 20° are vertical angles: y° = 20°

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6. h° and 125° are vertical angles: h° = 125°

The angles g° and 125° form a "linear pair" so total 180°.

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3 years ago
Given f(x) = 4(x - 8), determine the value of f(10).
Ilya [14]

Answer:

f(10) = 8

Step-by-step explanation:

f(x) = 4(x - 8)

Let x = 10

f(10) = 4 ( 10-8)

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