Solve the simultaneous equation
3x + y = 8
x - 3y = 11
1 answer:
Answer:
x = 7 / 2, y = - 5 / 2
Step-by-step explanation:
3x + y = 8 ------> equation 1
3 ( 3x + y = 8 )
9x + 3y = 24 ------> equation 2
x - 3y = 11 ------> equation 3
Add equations 2 & 3,
9x + 3y = 24
x - 3y = 11
_________
10x + 0 = 35
10x = 35
x = 35 / 10
x = 3.5
Substitute x = 3.5 in equation 1,
3x + y = 8
3 ( 3.5 ) + y = 8
10.5 + y = 8
y = 8 - 10.5
y = - 2.5
x = 3.5
= 35 / 10
x = 7 / 2
y = - 2.5
= - 25 / 10
y = - 5 / 2
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