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Ugo [173]
3 years ago
10

© y= 2x + 6 -3x - 5y= 22 Please help with substitution

Mathematics
2 answers:
umka21 [38]3 years ago
7 0

Answer:

[2]    x = -5y - 4

// Plug this in for variable  x  in equation [1]

  [1]    2•(-5y-4) - 5y = 22

  [1]     - 15y = 30

// Solve equation [1] for the variable  y

  [1]    15y = - 30

  [1]    y = - 2

// By now we know this much :

   x = -5y-4

   y = -2

// Use the  y  value to solve for  x

   x = -5(-2)-4 = 6

Solution :

{x,y} = {6,-2}

  Processing ends successfully  

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Terms and Topics

Linear Equations with Two Unknowns

Solving Linear Equations by Substitution

Related Links

Algebra - Linear Systems with Two Variables

Step-by-step explanation:

Molodets [167]3 years ago
7 0
They are correct!!!!
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the sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle?
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Answer:

The final interior angle = 124°

Step-by-step explanation:

A heptagon has 7 sides. The sum of the interior angles formula:

The sum of the interior angles =  (n - 2)180 where n = number of sides.

The sum of the interior angles= (7 - 2)180° = 900°

Six interior angles = 776°.

The final interior angle + six interior angle = 900°

The final interior angle + 776° = 900°      

The final interior angle = 900° - 776°

The final interior angle = 124°

6 0
2 years ago
Given: BC bisects DBE. Prove: ABD is congruent to ABE
Arada [10]

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE =>   < DBC = <CBE

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7 0
3 years ago
The graph below represents a population
Nataliya [291]

Answer:

Average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

Step-by-step explanation:

We need to find the average rate of  change for the function for the interval

(6, 12]

The formula used to calculate Average rate of change is:

Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}

We are given a=6 and b=12

Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000

and when x=12, y=6000 so, f(b)=6000

Putting values in formula and finding Average rate of change:

Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{6000-3000}{12-6}\\Average \ rate \ of \ change=\frac{3000}{6}\\Average \ rate \ of \ change=500

So, average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

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