SOLUTION: Find the Values for m and b in the following system so that solution to the system is (-3,4). 5x+7y=b mx+y=22

Algebra ->  Linear-equations -> SOLUTION: Find the Values for m and b in the following system so that solution to the system is (-3,4). 5x+7y=b mx+y=22      Log On


   



Question 83208: Find the Values for m and b in the following system so that solution to the system is (-3,4).
5x+7y=b
mx+y=22

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find values for m and b in the following system so that the solution to the system is (-3,4)
5x + 7y = b
:
Find b by using x,y coordinates given -3, 4
5(-3) + 7(4) = b
-15 + 28 = b
b = + 13
:
Find the slope (m): using y = mx + 13, and the given coordinates again
y = mx + b
4 = m(-3) + 13
4 = -3m + 13
3m = 13 - 4
3m = 9
m = +3
:
the 1st equation: y = 3x + 13
:
:
mx + y = 22
Find the slope (m) using the given coordinates x,y; -3,4
m(-3) + 4 = 22
-3m = 22 - 4
-3m = 18
m = 18/-3
m = -6
:
Find b in the 2nd equation:
y = mx + b
4 = -6(-3) + b
4 = 18 + b
4 -18 = b
b = -14
:
The 2nd equation: y = -6x - 14
:
If you graph it will look like this with intersection a x,y -3,4
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%2B13%2C+-6x+-+14%29+
:
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