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valentina_108 [34]
3 years ago
15

Use the substitution method to solve the system of equations. Choose the

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

x = 1

y = 3

Step-by-step explanation:

We can solve this problem by inputting the second equation into the first equation by replacing the y variable with the second equation.

x + 3y = 10

y = x + 2

x + 3(x + 2) = 10

Now, distribute three with x and 2

3 * x = 3x

3 * 2 - 6

x + 3x + 6 = 10

4x + 6 = 10

Subtract 6 from both sides

4x = 4

So, x = 1

Solve for y by replacing x in the second equation with 1.

y = 1 + 2

y = 3

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Known :

f(x) = -3x - 5

g(x) = 4x - 2

Asked :

(f+g)(x) = ...?

Answer :

(f+g)(x) = (-3x - 5) + (4x - 2)

= (-3x + 4x) + (-5 - 2)

= x + (-7)

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Paul was thinking of a number. Paul adds 10, then divides by 2 to get an answer of -13. What was the original number?
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Answer:

x = 14.5

Step-by-step explanation:

This is a supplementary angle, meaning the sum of the angles is 180°.

We can find the value of x by combining like terms.

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5x and 7x are alike.

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We can solve this by subtracting 6 from 180.

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