Which of the following ordered pairs are solutions to the system of equations below?
a. (1, 6)
b. (1, -6)
3. (-1, -6)
4. (-1, 6)
Answers
Given :-
A system of linear equation in two variables .To Find :-
The solution set of the system .Solution :-
The given system of equation is ,
[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]
Firstly , taking equation (ii) ,
[tex] y = 4x +10[/tex]
On subtracting y on both sides, we have ;
[tex] 4x - y +10 = 0[/tex]
Multiplying both sides by 2 ,
[tex] 2(4x -y+10)=2(0)[/tex]
Simplify,
[tex] 8x - 2y = -20 \dots (iii)[/tex]
Adding equation (i) and (iii) ,
[tex] 3x + 2y + 8x - 2y = -20+9[/tex]
Add and subtract the like terms ,
[tex] 11x = -11 [/tex]
Divide both sides by 11 ,
[tex] x = -1 [/tex]
Now substitute this value in equation (i) ,
[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]
Hence the correct option is 4 (-1,6) .
I hope this helps . Let me know if you need any further clarification .
Option 4.
For clear understanding refer to the attachment.
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Answer:
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//in a drop down box\\
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//in a drop down box\\
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Answer:
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Answer:
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<95141404393>
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You can also visit this site,I think it will be helpful for you to understand the solution better: https://www.wikihow.com/Calculate-the-Apothem-of-a-Hexagon
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Answer:
12. 5
11.
10
10
15. 7
14. 11
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=
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16
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+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
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2
=
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16
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Answer:
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__
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Answer:[tex] \color{hotpink} \bold{91.85 \: \: ft} [/tex]— — — — — — — — — —
— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)
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_______________∞_______________
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Step-by-step explanation:
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С
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E
D
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-5
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Answer:
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Step-by-step explanation:
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Given:
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