Is x=1 and y=0 solution of the system. x+y=1 ,2x+3y=3
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don't know sorry ,.........
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Given:
Two linear equation: x + y = 1 and 2x + 3y = 3
To Find:
If x = 1 and y = 0 is the solution
Explanation:
There are 2 methods to solve these simultaneous equations
- Elimination Method
- Substitution Method
Presenting here will be the Substitution Method
Solution
Equations:
x + y = 1 -------------------- [ 1 ]
2x + 3y = 3 ---------------- [ 2 ]
From equation [ 1 ]:
x + y = 1
x = 1 - y ---------------- [ 3 ]
Substitute [ 3 ] into [ 2 ]:
2( 1 - y) + 3y = 3
2 - 2y + 3y = 3
y + 2 = 3
y = 1
Substitute y = 1 into equation [ 1 ]:
x + (1) = 1
x + 1 = 1
x = 0
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