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4 years ago

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?

Mathematics

2 answers:

BlackZzzverrR [31]4 years ago

8 0

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

$y=2x-3...........................(1)\\\\y=-2x+5.............................(2)$

Adding equation (1) and (2), we get

$2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1$

Substitute the value of y in the first equation , we get

$1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2$

Therefore, the solution to the given system of equations = (2,1)

Nataly [62]4 years ago

7 0

Answer:

B (2,1)

Step-by-step explanation:

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An athletic club buys car magnets and pom-poms for club members. The car magnets cost 4.95 each, and pom-poms cost each. The ath

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Answer:

Each car magnet costs $4.95 and each pom-pom costs $0.425

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Step-by-step explanation:

I guess that we have to calculate the price of pom-poms and how much money was spent purchasing car magnets and pom-poms.

x + y = 300

2x = y (now we replace y)

x + 2x = 300

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3 years ago

Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the ph

Anuta_ua [19.1K]

Answer:

Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Step-by-step explanation:

<u>Question 1(In Picture):</u>

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

$y - y_1 = m(x-x_1)$

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

$y -6 = 8(x+4)$

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

<u>Question 2:</u>

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

$y - y_1 = m(x-x_1)$

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

$y -1 = 0(x-3)\\y-1 = 0$

Hence,

Option B: y-1=0 is the correct answer.

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3 years ago

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