Solve x + y = 8 and x - y= 4 and hence find the value of 'p' for which y=px +3.
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Answers
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Answer:
x
+
y
=
8
,
x
−
y
=
4
Subtract
y
from both sides of the equation.
x
=
8
−
y
x
−
y
=
4
Replace all occurrences of
x
in
x
−
y
=
4
with
8
−
y
.
x
=
8
−
y
(
8
−
y
)
−
y
=
4
Subtract
y
from
−
y
.
x
=
8
−
y
8
−
2
y
=
4
Solve for
y
in the second equation.
Tap for more steps...
x
=
8
−
y
y
=
2
Replace all occurrences of y in x = 8 − y with 2 . x = 8 − ( 2 ) y = 2Simplify 8 − ( 2 ) Tap for more steps... x = 6 y = 2
The solution to the system of equations can be represented as a point. ( 6 , 2 ) The result can be shown in multiple forms.
Point Form: ( 6 ' 2 )
Equation Form:
x = 6
,
y =2 image of graph
Explanation:
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