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Mathematics
Abdullah
28 July, 18:51
System of equations,
3x - 6y = 2
5x + 4y = 1
+2
Answers (
1
)
Andrew Willis
28 July, 18:59
0
3x-6y=2 (label equation 1)
5x+4y=1 (label equation 2)
-6y=-3x+2 (rearranged equation 1)
y=1/2x-1/3 (label equation 3)
substitute equation 3 into equation 2
5x+4 (1/2x-1/3) = 1
5x+2x-4/3=1
15x+6x-4=3 (multiplied everything by 3)
21x-4=3
+4 + 4
21x=7
x = 7/21
x=1/3
sub x=7/21 into equation 3
y = 1/2 (1/3) - 1/3
y = - 1/6
Therefore x=1/3 and y = - 1/6
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