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Alex777 [14]
3 years ago
15

10

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer: The equation that represents the other equation is y=\dfrac{1}{3}x+5 .

The solution of the system is <u>(3,6).</u>

Step-by-step explanation:

Linear equation: y=mx+c  , where m= slope

c = y-intercept.

In the first table, the y-intercept = 5     [ y-intercept = value of y at x=0.

Slope for first table  = \dfrac{y_2-y_2}{x_2-x_1}=\dfrac{6-5}{3-0}=\dfrac{1}{3}

The equation that represents the first table:

y=\dfrac{1}{3}x+5

So, the equation that represents the other equation is y=\dfrac{1}{3}x+5 .

Also, the solution of the system is the common point (x,y) that satisfy both equations in the system.

Here, x=3 and y=6 is the common value in both tables.

So, the solution of the system is <u>(3,6).</u>

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