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galben [10]
2 years ago
15

Solve the following system of equations using the elimination method. 5x + y = 9 –10x + 7y = 18 Question 6 options: A) (2,–6) B)

(–7,3) C) (3,–4) D) (1,4)
Mathematics
1 answer:
Leya [2.2K]2 years ago
4 0

Answer:

Step-by-step explanation:

5x + y = 9

-10x + 7y = 18

10x + 2y = 18

-10x + 7y = 18

9y = 36

y = 4

5x + 4 = 9

5x = 5

x = 1

(1,4)

answer is D

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Answer:

x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

Step-by-step explanation:

I'm assuming the system is \left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.:

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x^2+4x^4-12x^2+9=2

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(4x^2-7)(x^2-1)=0

4x^2-7=0

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x^2=\frac{7}{4}

x=\pm\sqrt{\frac{7}{4}}

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y=2(\pm\sqrt{\frac{7}{4}})^2-3

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y=\frac{1}{2}

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y=2(1)-3

y=2-3

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Therefore, x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

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