solve the simultaneous equations 3x-y=5, 4x-3y=-1. hence, find p, if y=px-3.
(substitution method)
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by solving the two equations we get
ans p=19/8
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Answer:
GIVEN :
The equations are 3x-y=5, 4x-3y=-1. Hence find p, if y=px-3
TO FIND :
The value of p in the given equation y=px-3
SOLUTION :
Given equations are 3x-y=5, 4x-3y=-1
To find p, if y=px-3 :
Let the equations
and
Now put y=px-3 in equations (1) and (2)
(1) ⇒ 3x-(px-3)=5
3x-px+3=5
(2) ⇒ 4x-3(px-3)=-1
4x-3px+9=-1
Now multiply the equation (3) into 3 we get
Subtracting the equations (4) and (5)
4x-3px=-10
9x-3px=6
(-)_(+)__(-)________
-5x=-16
5x=16
∴
Substitute the value in equation (1)
∴
Substitute the values and in equation y=px-3 we get
38=16p
Rewritting as 16p=38
∴
∴ the value of p is if y=px-3.
Step-by-step explanation:
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