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kenny6666 [7]
2 years ago
11

What are the solutions to the system of equations?

Mathematics
1 answer:
bogdanovich [222]2 years ago
5 0

Answer:

(0, - 3 ) and (- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 4x² + 6x - 3 → (1)

y = 2x - 3 → (2)

Substitute y = 4x² + 6x - 3 into (2)

4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

4x² + 4x = 0 ← factor out 4x from each term

4x(x + 1) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )

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Answer:

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Step-by-step explanation

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3 years ago
What is the solution to the system of equations g(x)=-2x-3 f(x)=x+1-4
Ainat [17]

Answer: Not positive that this is right but here is what I got.

Step-by-step explanation:

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g ( f )( x )

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4 0
3 years ago
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3 years ago
Read 2 more answers
The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf
Zinaida [17]

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6 0
3 years ago
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