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4 years ago

Y = -5x + 3 y = 8x – 23

Mathematics

1 answer:

svet-max [94.6K]4 years ago

4 0

Answer:

x = 2 , y = -7.

Step-by-step explanation:

Two Equations are given in the question ,

y = -5x + 3 -(1)

y = 8x - 23 -(2)

We have to solve both of them ,

Subtracting equation 2 from equation 1 , we will get

-5x -8x + 3 + 23 = 0

-13x + 26 = 0.

So,

x = 2.

Putting x = 2 in Equation 1 ,

y = -10 + 3.

y = -7.

Thus Solution of both of the equations is x = 2 , y = -7.

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3 years ago

Write each fraction in simplest form 18 divided by 9

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3 years ago

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Barb is making a bead necklace. She strings 1 white bead,then 3 blue beads,then 1 white bead,and so on. Write the numbers for th

nataly862011 [7]

The numbers for the first eight beads that are white are; 1, 5, 9, 13, 17, 21, 25, 29

<h3>Arithmetic Sequence</h3>

We are told that she strings in this order;

1 white
3 blue
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Now, after the first white bead, the next white bead is the 5th bead in total.

This means the difference in interval between white beads is; 5 - 1 = 4 beads

Thus, the numbers for the first eight beads that are white are;

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2 years ago

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Write an equation of the line that passes through the given points. (-1,5) and (2, - 7)

Vanyuwa [196]

Answer:

The equation of the straight line is 4x +y = 1

Step-by-step explanation:

Step(i):-

Given points are (-1,5) and ( 2,-7)

Slope of the line

$m =\frac{y_{2}-y_{1} }{x_{2} -x_{1} } =\frac{-7-5}{2-(-1)} = \frac{-12}{3} = -4$

slope of the line m = -4

Step(ii):-

The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

$y - y_{1} = m( x-x_{1} )$

y - 5 = -4 ( x-(-1))

y -5 = -4 x -4

4 x + y -5 +4=0

4x +y -1 =0

Final answer:-

The equation of the straight line is 4x +y = 1

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2 years ago