Write the equation y = 3x + 5 corresponding to a, b and c. in the form ax + by + c = 0 Also write the values corresponding to a , b and c
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Answer:
0x+1.y−5=0
0x+1.y−5=0Comparing given equation with ax+by+c=0
0x+1.y−5=0Comparing given equation with ax+by+c=0a=0,b=1,c=−5.
Answered by
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The standard form of a linear equation is:
A
x
+
B
y
=
C
Where, if at all possible,
A
,
B
, and
C
are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
First, subtract
3
x
from each side of the equation so both the
x
and
y
terms are on the left side of the equation as required by the Standard form while keeping the equation balanced.
−
3
x
+
y
=
−
3
x
+
3
x
−
5
−
3
x
+
y
=
0
−
5
−
3
x
+
y
=
−
5
Now, multiply each side of the equation by
−
1
to make the
x
coefficient non-negative as required by the Standard form while keeping the equation balanced.
−
1
(
−
3
x
+
y
)
=
−
1
⋅
−
5
(
−
1
⋅
−
3
x
)
+
(
−
1
⋅
y
)
=
5
3
x
+
−
1
y
=
5
Or
3
x
−
1
y
=
5
A
=
3
B
=
−
1
C
=
5
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