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Alecsey [184]
2 years ago
13

Solve through substitution –3x–8y=20 y=5x+19 Point of intersection, please

Mathematics
1 answer:
Sedaia [141]2 years ago
4 0

Answer:

(-4, -1)

Step-by-step explanation:

-3x - 8y = 20; y = 5x + 19

y = 5x + 19; -3x - 8y = 20

y = 5x + 19

-3x - 8y = 20

-3x - 8(5x + 19) = 20

-43x - 152 = 20

-43x - 152 + 152 = 20 + 152

-43x = 172

-43x / -43 = 172 / -43

x = -4

y = 5x + 19

y = (5)(-4) + 19

y = -1

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Please help thanks so much
Katarina [22]

Answer:

y = \frac{-3}{2}x -- 2

Step-by-step explanation

We need to fill out the formula y = mx + b.

First, we must find out what each part of that formula means.

mx = slope

b = y-intercept

y = solution (Always unknown)

We already know the slope of the formula, so we can fill that out.

y = \frac{-3}{2}x + b

If it has a slope of -3/2, then that means it is moving down 3 points and moving  to the right 2 points to find the next line. because rise over run.

If it passes through the point (-4, 4) then from their subtract 3 to 4, and 2 to -4.

This means the next point it will reach is (-2, 1). Once again, subtract 3 from 1, and add 2 to -2.

The next point it will reach is (0, -2) This gives us the y-intercept of the equation.

Now we can fill out the rest of the formula!

y = \frac{-3}{2}x -- 2

4 0
3 years ago
I DONT NEED SLEEP I NEED ANSWERS
stellarik [79]

Answer:

You asked to solve questions 3 and 5

<h3>#3</h3>

Since CD = EF,

  • 9x - 1 = 41 - 5x
  • 9x + 5x = 41 + 2
  • 14x = 42
  • x = 3
  • EF = 41 - 5*3
  • EF = 26
<h3>#5</h3>

MN = NP as their perpendicular bisectors are of same length.

  • 9x - 43 = 5x + 33
  • 9x - 5x = 33 + 43
  • 4x = 76
  • x = 19
  • mMP = 360 - (mMN + mNP)
  • mMP = 360 - (9*19 - 43 + 5*19 + 33)
  • mMP = 104
6 0
2 years ago
Which ordered pairs is a solution to -5x + 3y &gt; 12?
maks197457 [2]

Answer:

(-5,5)

Step-by-step explanation:

if you replace x and y with the numbers, the answer will be true.

3 0
3 years ago
Jeremy is the oldest of four brothers. Each of the four boys gets an allowance for doing chores at home each week. The amount of
frez [133]
$12.75-$11.25= $1.50, $9.75-$1.50= $8.25 his little brother should get $8.25 hope it helps
4 0
3 years ago
Write the equation of a line with a slope of -2 and a y-intercept of 5:
saveliy_v [14]
Answer: y = -2x +5 , so C (you probably just forgot to put the x)

Explanation: y = mx+b m represents the slope, b represents the y intercept
6 0
3 years ago
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