x=1,y=-1 is a solution of the system of linear equation 2x +5y=3 and x-3y=4
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Prove that x=1,y=-1 is the solution of the system of linear equations;
2x+5y=-3 and x-3y=4.
Solution;
The given equations are;
2x + 5y = -3 ------(1) and
x - 3y = 4 ------(2)
The given point is:
x=1 , y=-1. ie, (1,-1)
If (1,-1) is the solution of the given system of linear equations, then it will satisfy the both equations simultaneously.
Let's check for eq-(1)
LHS = 2x + 5y
= 2(1) + 5(-1)
= 2 - 5
= -3
= RHS
Let's check for eq-(2)
LHS = x - 3y
= (1) - 3(-1)
= 1 + 3
= 4
= RHS
Since, the given coordinate (1,-1) satisfy both the equations, thus x=1,y=-1 is the solution of the given system of linear equations.
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