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vladimir2022 [97]
3 years ago
6

Solve the system of equations by elimination. 2x + 2y = -2 3x - 2y = 12

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

5x = 10

x = 2

2(2) + 2y = -2

4 + 2y = -2

2y = -6

y = -3

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Solve the system of equations. y = x − 5 and y = x2 − 5x + 3 A. (-4,-9) and (-2,-7) B. (4,-9) and (2,-7) C. (4,-3) and (2,-1) D.
larisa [96]

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = x - 5 → (1)

y = x² - 5x + 3 → (2)

Substitute y = x² - 5x + 3 into (1)

x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides

x² - 6x + 8 = 0 ← in standard form

(x - 2)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

Substitute each of these values into (1) for corresponding values of y

x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )

x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )

4 0
3 years ago
Read 2 more answers
Please HELP ASAP! I attached everything to make it easy for u to understand. Please help quickly. Please be sure about your answ
Assoli18 [71]

Answer: 1, 3, 4, and 5 but stick with 1, 3, and 4

Step-by-step explanation:

just use a calculator to find 3, 4 is easy because red normally has more, and one is just an estimate

6 0
3 years ago
A cyclist rode 3.75 miles in 0.3 hours.
Archy [21]

Answer:

A. 12.5 miles per hour B. 0.36 hours

Step-by-step explanation:

3.75/.30=12.5 , so divide 3.75 by the time 0.30 hours and you get your miles per hour

next, take 4.5 and divide by the new mph 12.5 from your previous answer.

4.5/12.5=0.36 hours

4 0
3 years ago
Solve x squared minus 2x minus 15 equals 0 using the zero product property
Pani-rosa [81]
X^2 - 2x - 15 = 0

(x - 5)(x + 3) = 0

We have two factors:

(x - 5) and (x + 3)

Set each factor to 0 and solve for x.

Take it ftom here.

4 0
3 years ago
2b + 8 - 5b + 3 = - 13 + 8b - 5
MissTica
I hope this helps you

6 0
4 years ago
Read 2 more answers
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