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sergey [27]
3 years ago
10

Graph the line with the slope -3/4 passing through the point (4,-1)

Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0

Answer:

Step-by-step explanation:

Plot the point (4, -1) in the 4th Quadrant.

The slope (-3/4) tells us what to do next:

With your pencil point initially on (4, -1), move it 4 units to the right, to (8, -1).

With your point initially on (8, -10, move it down 3 units, to (8, -4).  Plot (darken) (8, -4).

Draw a line through (4, -1) AND (8, -4)

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Solve the system:<br> 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19
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Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

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x = 5 - 3y

Substitute 5 - 3y for x in equation 1

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-24y = 3.5 - 27.5

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Divide through by - 24

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Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

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