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Ierofanga [76]
3 years ago
13

Negative 5x plus 4y equals 3 i need x and y please

Mathematics
1 answer:
Andru [333]3 years ago
3 0

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

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30 minutes  -  5 miles;

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10 hours - 100 miles ...

The independent value is plotted along the x- axis ( Hours ) and the dependent variable is plotted  along the y-axis ( Miles ). Also:

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90 x 1/2 hours = 45 hours

Answer: The graph B ) ( or the second one ).  

4 0
4 years ago
Write the equation for the following relation. R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .} and show work
timama [110]

Let

A(4,5) B(8,7) C(12,9) D(16,11)

1) Find the slope AB

m=(y2-y1)/(x2-x1)

m=(7-5)/(8-4)=0.5

2) Find the slope BC

m=(9-7)/(12-8)=0.5

3) Find the slope CD

m=(11-9)/(16-12)=0.5

The points represent a linear function

so

<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>

we know that

y-y1=m*(x-x1)

y-5=0.5*(x-4)

y=0.5*x-2+5

y=0.5*x+3

therefore

<u>the answer is</u>

The equation is equal to y=0.5*x+3

8 0
3 years ago
In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
frutty [35]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

There is a fact in any triangle, the segment joining the mid points of

two sides of the triangle is:

  • Parallel to the third side
  • Its length is half the length of the third side

In Δ XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = \frac{1}{2} XZ

∵ XZ = 18 units

∴ AB = \frac{1}{2} × 18 = 9 units

∵ C is the mid point of XZ

∵ B is the mid point of YZ

∴ BC = \frac{1}{2} XY

∵ AY = 7 units

∵ AY = \frac{1}{2} XY

∴ 7 = \frac{1}{2} XY

- Multiply both sides by 2

∴ 14 = XY

∴ BC = \frac{1}{2} × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = \frac{1}{2} YZ

∵ BZ = 8 units

∵ BZ = \frac{1}{2} YZ

∴ 8 = \frac{1}{2} YZ

- Multiply both sides by 2

∴ 16 = YZ

∴ AC = \frac{1}{2} × 16 = 8 units

∵ The perimeter of any triangle is the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/10677255

#LearnwithBrainly

3 0
3 years ago
3x+12=2x+40 solve for x
Fiesta28 [93]

Answer:

x = 28

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
For which inequality is x = 7 a solution?
frosja888 [35]
My teacher said A and C
7 0
3 years ago
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