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Iteru [2.4K]
3 years ago
13

Pretest: Unit 5 Question 12 of 21 Use the substitution method to solve the system of equations. Choose the correct ordered pair.

y = -2x+11 Y = -3x+21​
Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

Answer:

(10, - 9 )

Step-by-step explanation:

Given the 2 equations

y = - 2x + 11 → (1)

y = - 3x + 21 → (2)

Substitute y = - 2x + 11 into (2)

- 2x + 11 = - 3x + 21 ( add 3x to both sides )

x + 11 = 21 ( subtract 11 from both sides )

x = 10

Substitute x = 10 into either of the 2 equations and evaluate fir y

Substituting into (1)

y = - 2(10) + 11 = - 20 + 11 = - 9

solution is (10, - 9 )

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Which proportion can be used to show that the slope of JL is equal to the slope of MP
Ilya [14]

Answer:

See below and attached

Step-by-step explanation:

<u>As per the graph we have:</u>

  • Coordinates of JL are J(-7, 4), L(-4, 0)
  • Coordinates of MP are M(-10, 8), P(-1, -4)

<u>Slope formula is:</u>

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<u>Slope of MP:</u>

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5 0
3 years ago
Which of the following absolute value equations has no solutions?Group of answer choices
Amiraneli [1.4K]

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In other words:

• If d is positive and

\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}

• If d is negative and

\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}

Therefore, the equation that has no solutions is:

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3 0
1 year ago
What integer increased by - 12 is 28?
guajiro [1.7K]

Answer:

40

Step-by-step explanation:

Let n represent the integer. Then the increase can be written as ...

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n = 40

The integer is 40.

4 0
3 years ago
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