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kolbaska11 [484]
3 years ago
12

At what value of x do the graphs of the equation below intersect ? 2x-y=6 5x+10y=-10

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

Solve the two equations simultaneously....whereby you substitute y = 2x - 6 from the above equation into the second equation...

where...; 5x + 10(2x - 6) = -10

5x + 20x - 60 = -10...then move the variables with x to one side...

5x + 20x = -10 + 60

25x = 50

;Therefore...the value of x at intersection point = 2

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A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."
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"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

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20-2=18

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36-2=34

So the 6th line has 34 marbles.
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