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AlekseyPX
2 years ago
10

5x-11=3x+5 solve for ”x”

Mathematics
1 answer:
I am Lyosha [343]2 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

5x - 11 = 3x + 5

Step 2: Solve for <em>x</em>

<u>Subtract 3x on both sides:</u> 2x - 11 = 5

<u>Add 11 to both sides:</u> 2x = 16

<u>Divide both sides by 2:</u> x = 8

Step 3: Check

<em>Plug in x to verify it is a solution.</em>

5(8) - 11 = 3(8) + 5

40 - 11 = 24 + 5

29 = 29

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3 years ago
1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the
Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1).  First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4.  Using point-slope form,

y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2.  To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2.  Using point-slope form,

y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}

#4) The slope of Main Street on the diagram, found by using rise/run, is 2.  This means the bike path will also have a slope of 2 in order to be parallel.  The park entrance is at (0, 4).  This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel.  They are never perpendicular.

3 0
3 years ago
Read 2 more answers
Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:
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Answer:

No

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

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Please help<br> Complete the equation describing how<br> x and y are related.
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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