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ki77a [65]
3 years ago
10

Solve the system by substitution. x + 6y = -2 -x= 3y - 10

Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0

Answer:

x = 22, y = -4

Step-by-step explanation:

x + 6y = -2 --- Equation 1

-x = 3y - 10 --- Equation 2

Equation 2 ×(-1): x = -3y + 10 --- Equation 3

Substitute x = -3y + 10 into Equation 1:

x + 6y = -2

-3y + 10 + 6y = -2

3y + 10 = -2

3y = -2-10

    = -12

y = -12 ÷ 3

y = -4

Substitute y = -4 into Equation 3:

x = -3y + 10

x = -3(-4) + 10

  = 12 + 10

x = 22

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Answer:

1/3 is equal to 0.3 repeating or 0.33333333333 to be exact

Step-by-step explanation:

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7 0
3 years ago
Select the correct answer from the drop-down menu. consider the equations y = |x − 1| and y = 3x 2. the approximate solution of
kaheart [24]

The approximate solution of this system of equations is

(x,y)=(-0.25,1.25)

<h3>What is an equation?</h3>

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.

Given that,

y = |x − 1| and y = 3x+2

 y = |x − 1|

    = (x-1) ,    for  (x-1)>0 or x>1

and

y = -(x-1)  ,    for(x-1)<0  or x<1

y  = -x+1      

Now,   For x>1

y = x-1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = x-1

→ 3x-x = -1-2

→ 2x = -3

→ x = -3/2

→ x = -1.5 which is <1.

For x<1

y = -x+1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = -x+1

→ 3x+x = 1-2

→ 4x = -1

→ x = -1/4

→ x= -0.25 which is <1.

substitute the value of x = -0.25 in equation 1 for x<1.

y = -x+1

  = -(-0.25)+1

y  = 1.25

Hence, The approximate solution of this system of equations is

(x,y)=(-1/4,5/4)=(-0.25,1.25).

To learn more about equation from the given link:

brainly.com/question/9475812

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8 0
2 years ago
7. Solve the equations by thinking logically.
MA_775_DIABLO [31]

Answer:

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4 0
3 years ago
34.7% of city employees ride the bus to work. Last year, 5.2% of city employees rode the bus to work. What is the relative chang
DaniilM [7]

Answer:

5.67\%

Step-by-step explanation:

The relative change is defined by the following equation:

Relative\hspace{3}change=\frac{x-x_r_e_f_e_r_e_n_c_e}{x_r_e_f_e_r_e_n_c_e}   (1)

Where:

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x_r_e_f_e_r_e_n_c_e=Value\hspace{3}of\hspace{3}indicator\hspace{3}in\hspace{3}period\hspace{3}1

With this in mind, let's replace the values in the equation (1):

Relative\hspace{3}change=\frac{34.7-5.2}{5.2}=\frac{29.5}{5.2}=5.673076923\approx5.67\%

4 0
3 years ago
Help I’ll help you too!
Gala2k [10]
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3 years ago
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