Using the subsitiution method to solve, find the x and y intercepts and graph the system.
A) x-2y=16
4x+y=1
B) -5x+y=11
4x+12y=4
(A)
x-2y=16
4x+y=1
use equation 1 to find value of x and subtitute it in equation 2
x = 16+2y
put into equation 2
4(16+2y) + y = 1
64+8y +y = 1
9y = -63
y = -7
x = 16+2y = 2
so answer is (x,y) = (2,-7)
(B)
-5x+y=11
4x+12y=4
calculate value of y from first equation
y = 11+5x
put this in equation (2)
4x+12(11+5x) = 4
4x+60x = 4-132
64x = -128
x = -2
y = 1
so answer is (x,y) = (-2,1)
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