MATHEMATICS HIGH SCHOOL

What is the solution of the system of equations below?2x + 3y = 7
x + y = 3
(1) (1,2)
(2) (2,1)
(3) (4,-1)
(4) (4,1)

Answers

Answer 1
Answer: \begin{cases}2x + 3y = 7 \n x + y = 3 \ \ / *(-2) \end{cases}\n \n\begin{cases}2x + 3y = 7 \n -2x - 2y = -6\end{cases}\n+ \ ------- \ny=1\n \n2x + 3\cdot1 = 7

2x+3=7 \ \ |-3\n \n 2x+3-3=7-3\n \n2x=4 \ \ /:2 \n \nx=2 \n \n \begin{cases} x=2 \n y=1 \end{cases}
Answer 2
Answer: 2x + 3y = 7
x + y = 3

x = 3 - y

substituting for x,

2(3 - y)  + 3y = 7

= 6 - 2y + 3y = 7
6 + y = 7

thus, y = 1

x = 3 - y

= 3 - 1
= 2.

Thus, x = 2 , y = 1

Thus, (2) is correct.

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Answers

Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
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When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 

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Answers

Answer: A line straight horizontal on the y value of 2.

Step-by-step explanation:

-------------------------------2-------------------------------------------

Answer:

Shown in the attached image below

Step-by-step explanation:

The graph of y=2 means that any x-value you put in, all of the values are always going to equal 2. That’s why it’s a horizontal line at 2.

Hope this helps! :)

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Answers

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Answers

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Answers

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Answers

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Step-by-step explanation:

Answer:

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