SOLUTION: Find all solutions of the given system of equations and check your answer graphically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer

Algebra ->  Probability-and-statistics -> SOLUTION: Find all solutions of the given system of equations and check your answer graphically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer       Log On


   

Question 1179710: Find all solutions of the given system of equations and check your answer graphically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).)
4x − 3y = 7
3x − 4y = −7
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

4x+%E2%88%92+3y+=+7....eq.1
3x+%E2%88%92+4y+=+%E2%88%927....eq.2
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4x+%E2%88%92+3y+=+7....eq.1......solve for x
4x+=+3y%2B7
x+=+3y%2F4%2B7%2F4.........1a)

3x+%E2%88%92+4y+=+%E2%88%927....eq.2......solve for x
3x+=4y+%E2%88%927
x+=4y%2F3+%E2%88%927%2F3........1b)

from 1a) and 1b) we have
3y%2F4%2B7%2F4=4y%2F3+%E2%88%927%2F3

7%2F3%2B7%2F4=4y%2F3+%E2%88%923y%2F4
49%2F12=%287y%29%2F12
49=7y
y=7
go to
x+=+%283%2A7%29%2F4%2B7%2F4.........1a)
x+=+%284%2A7%29%2F4
x+=+7