SOLUTION: A linear system is given. y= 1/5x - 3 line 1 y= -2/7x +1 line 2 a) Explain why the following is an equivalent linear system. x-5y=15 line 3 2x+7y=7 li

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Question 838687: A linear system is given.
y= 1/5x - 3 line 1
y= -2/7x +1 line 2
a) Explain why the following is an equivalent linear system.

x-5y=15 line 3
2x+7y=7 line 4
b) If you graph all four lines, what results do you expect? Graph to check.
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
A linear system is given.
y= 1/5x - 3 line 1
y= -2/7x +1 line 2
a) Explain why the following is an equivalent linear system.
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y= 1/5x - 3 line 1
Multiply by 5
5y = x - 15
Subtract 5y
0 = x - 5y - 15
Add 15
x - 5y = 15 which is line 3 below.
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Line 2 is the same as line 4.

x-5y=15 line 3
2x+7y=7 line 4
b) If you graph all four lines, what results do you expect? Graph to check.
You get the same 2 lines twice.

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
a)multiply line 1 by 5 to get line 3
multiply line 2 by 7 to get line 4
b) two lines that intersect since line one and line three are identical and line 2 and 4 are identical