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AnnZ [28]
3 years ago
15

Solve the system of equations using the linear combination method. {c+d=17c−d=3 Enter your answers in the boxes

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Solving the system of equations, we get value of c= 10 and value of d= 7

Step-by-step explanation:

Solving the system of equations:

c+d=17\\c-d=3

Let:

c+d=17\,\,\,eq(1)\\c-d=3\,\,\,eq(2)

Adding eq(1) and eq(2)

c+d=17\\c-d=3\\------\\2c+0d=20\\c=20/2\\c=10

So, value of c = 10

Now putting value of c in equation 1 to find value of y

c+d=17\\10+d=17\\d=17-10\\d=7

So, value of d =7

Solving the system of equations, we get value of c= 10 and value of d= 7

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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15c less than or equal to 200

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2.) Bob has two weekend jobs. Last weekend he made a total of $77 after
Butoxors [25]

Answer:

Step-by-step explanation:

x= money earned per hour working as a cashier.

y=money earned per hour working delivering newspapers.

We propose the following system of equations:

5x + 4y =77

6x + 3y=78

We solve the system by reduction method:

-6*(5x+4y=77) ⇒  -30x-24y=-462

5*(6x+3y=78)⇒     30x+15y=390

                             ---------------------------

                                     -9y=-72  ⇒   y=-72 /-9=8

Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.

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I need help and steps of how u got it
Gnom [1K]

Answer:

A)  4

Step-by-step explanation:

There are a couple of ways to get this but this is how I did it:

1.  Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation

1/4 x + 1/8 y = 2

1/4 (1/3 x + 1/2 y = 4)

1/12 x + 1/8 y = 1

2.  Subtract the first equation from the new equation

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<u>    - 1/4 x - 1/8 y = -2</u>

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3.  Divide both sides by -1/6

  <u>-1/6</u> x= <u>-1</u>

   -1/6    -1/6

     x = 6

4. Substitute 4 in for x in the original equation:

1/4 (6) + 1/8y = 2

6/4 + 1/8y = 2

1/8y = 1/2

  y = 4

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The answer is
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