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Reil [10]
11 months ago
13

What is the solution to the system of two equations shown?

Mathematics
1 answer:
Nadya [2.5K]11 months ago
6 0

The solution of the given system of equation is x = -3 and y = 4 respectively.      

<h3>What is a system of linear equations?</h3>

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given system of equations is as,

y = 4x + 16                   (1)

y = −2x − 2                  (2)

In order to solve them, substitute equation (2) into (1) as follows,

4x + 16 = −2x − 2

=> 4x + 2x = -2 - 16

=> 6x = -18

=> x  = -3

Then, y = -2 × -3 - 2 = 4

Hence, the solution of the given system of equation is x = -3 and y = 4.  

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ1    

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An amount of $180 is shared among three people in the ratio x: y: z.
sammy [17]

Answer:

$110 and $30

Step-by-step explanation:

To solve this, we need to know the total share which is,

4 + 11 + 3 = 18

Then, you need to know the fraction of the share over the total, such that

x = \frac{4}{18}

y =  \frac{11}{18}

z =  \frac{3}{18}

So if to find how much that'll be of the $180 for the largest and smallest share,

Largest:

\frac{11}{18}  \times 180 = 110

Smallest:

\frac{3}{18}  \times 180 = 30

6 0
3 years ago
5u^2 + 6 = -13u please help
Komok [63]

Answer:

u = -2, -3/5

General Formulas and Concepts:

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Factoring
  • Finding roots

Step-by-step explanation:

<u>Step 1: Define equation</u>

5u² + 6 = -13u

<u>Step 2: Solve for </u><em><u>u</u></em>

  1. Rewrite:                    5u² + 13u + 6 = 0
  2. Factor:                      (u + 2)(5u + 3) = 0
  3. Find roots:                u = -2, -3/5
5 0
2 years ago
Can someone explain this? and what are the answers- :'_
Sunny_sXe [5.5K]

Answer:

1) b=-1.6 2) g=3 3) x=0.8 4) w=4.9 5) p=-16.2 6) y=9.2

Step-by-step explanation:

Use inverese operations to isolate variables ex. x+4=2

x times 2 = 6                                                            -4

/2                                                                               x=-2

x=3                                                                        

                                                                               

4 0
3 years ago
Graph f(x) = 2 x + 3 + 2.
Tasya [4]
Hi this is the graph from desmos!

3 0
2 years ago
What equation does the model represent
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