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Sauron [17]
3 years ago
8

Use elimination to solve the system of equations. 5x-2y=-3 4x-2y = -6

Mathematics
1 answer:
Effectus [21]3 years ago
5 0

Answer:

x=3, y=9

Step-by-step explanation:

5x-2y=-3

4x-2y=-6

Then:

solve for y:

-2y=-6-4x

y=3+2x

Substitute y into either equation:

4x-2(3+2x)=-6

4x-6-4x=-6

-6=-6, use other equation

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

5x-6-4x=-3

x-6=-3

x=3

then:

y=3+2(3)

y=9

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3 years ago
3. if kx² + 2x + k = -kx have equal roots, find the values of k.<br>​
crimeas [40]

Answer:

k = - \frac{2}{3} , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

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kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - \frac{2}{3}

k - 2 = 0 ⇒ k = 2

5 0
3 years ago
Which of ratio is equivalent to 3:4 ?<br> 12:9<br> 9: 20<br> 9:12<br> 803 : 804
Sever21 [200]

Answer:

C

Step-by-step explanation:

3/4 = 9/12

This is because

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3/4 = 9/12

Hope that helps!

6 0
3 years ago
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Step-by-step explanation:

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