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BartSMP [9]
2 years ago
14

I need help on number six I have graphed the data that is given but I need to find three ordered pairs of numbers for each equat

ion to be able to plot my points on the coordinate plane
I will give you Brainly and five stars ⭐️✨ plus a thanks.

Mathematics
2 answers:
aliya0001 [1]2 years ago
8 0

#6

  • x-y=-2
  • y=x+2

Ordered pairs

  • (0,2)
  • (1,3)
  • (2,4)

And

  • x-y=2
  • y=x-2

Ordered pairs

  • (1,-1)
  • (2,0)
  • (-2,-4)

Remember parallel lines have no solutions

stira [4]2 years ago
5 0

Answer:

Step-by-step explanation:

<u>Given system of equations</u>

\textsf{Equation 1}:\quad x-y=-2

\textsf{Equation 2}:\quad x-y=2

Rewrite each equation to make y the subject.

Input x = 0 into the equation to find the y-intercept.

Input y = 0 into the equation to find the x-intercept.

Input x = 4 into the equation to find a third ordered pair.

Plots the points on the graph and draw a line through them.

<u>Equation 1</u>

\begin{aligned}x-y &=-2\\ \implies -y&=-x-2\\y&=x+2\end{aligned}

x=0 \implies y=0+2=2 \implies (0,2)

y=0 \implies x+2=0 \implies x=-2 \implies (-2,0)

x=4 \implies y=4+2=6 \implies (4,6)

<u>Equation 2</u>

\begin{aligned}x-y& =2\\\implies -y &=-x+2\\y & = x-2\end{aligned}

x=0 \implies y=0-2=-2 \implies (0,-2)

y=0 \implies x-2=0 \implies x=2 \implies (2,0)

x=4 \implies y=4-2=2 \implies (4,2)

Slope-intercept form of a linear equation:  y=mx+b

(where m is the slope and b is the y-intercept)

Comparing both equations:

  • Same slopes
  • Different y-intercepts

Therefore, the lines are parallel. This is called <u>Inconsistent</u> and means the system of equations has <u>no solution</u> (since the lines never intersect).

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