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2 years ago

Solve the system of linear equations by substitution 12x+y=−4 y=2x+16

Mathematics

1 answer:

ki77a [65]2 years ago

8 0

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

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3 years ago

Question 2 (essay worth 10 points)

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The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is {JPR, JRP, PJR, PRJ, RJP, RPJ}.

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A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

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Ksivusya [100]

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2 years ago

What is the solution to this equation? x-8=15 A)x=13 B)x=17 C)x=7 D) x=23

Blababa [14]

Hi there! :)

Answer:

x=23

*The answer must have a positive sign.*

Step-by-step explanation:

This lesson it's about addition property of equality.

First, you add by 8 from both sides of an equation.

$x-8+8=15+8$

And then, you add by the numbers. Simplify and solve.

$15+8=23$

Final answer: → $x=23$

Hope this helps!

Thanks!

-Charlie

Have a great day!

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