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NNADVOKAT [17]
3 years ago
10

Which 1 is the equation 3x+9y=7 that passes through (6,4)

Mathematics
1 answer:
algol [13]3 years ago
6 0
Perpendicular lines have an negated inverse slope compared to a given line. so we need to find slope of line:
3x + 9y = 7
y = -1 / 3 x + 7

so the opposite of -1/3 is 1/3. flip the fraction to get the inverse and it is 3/1 or 3. 3 is then the slope of perpendicular line. now we see which one will work with it. there are 2 possible
3x+ 4 = y
3x - 14 = y

plug in the point on line and see if it works
3 (6) + 4 = 4 nope

3 (6) -14 = 4 yes
so 3x - 14 = y
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You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable.  You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation.  If the x coefficient is 2, then you have to multiply the entire other equation by -2.  If the y coefficient is -5, then you have to multiply the entire other equation by 5.


10)
-4x + 9y= 9
x - 3y= -6

STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24

STEP 2:
add the top equation and the equation from step 2

-4x + 9y= 9
4x - 12y= -24
the x term cancels out

-3y= 15
divide both sides by -3

y= -5

STEP 2:
substitute the y value in either original equation to solve for x

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____________________

12)
-7x + y= -19
-2x + 3y= -19

STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x

-3(-7x + y)= -3(-19)
21x - 3y= 57

STEP 2:
add the bottom equation and the equation from step 2 to solve for x

-2x + 3y= -19
21x - 3y= 57
the y term cancels out

19x= 38
divide both sides by 19

x= 2

STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation

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-7(2) + y= -19

-14 + y= -19
add 14 to both sides

y= -5

ANSWER: x= 2; y=-5

Hope this helps!  :)

4 0
3 years ago
Richard practiced each of 3 piano solos for 5/12 hour. how long did he practice in all?
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5 0
3 years ago
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