solve the following pair of linear equations by the elimination method x+y=5,2x–3y=4
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x = 19/5 ; y = 6/5
Step-by-step explanation:
x + y = 5 (equation 1)
2x - 3y = 4 (equation 2)
Step 1 :- Multiplying equation 1 by 2
2x + 2y = 10 (equation 3)
Step 2 :- Subtracting equation 3 from equation 2;
2x - 3y = 4
- (2x + 2y = 10)
____________
2x - 2x - 3y -2y = 4 - 10
-5y = -6
y = 6/5
putting value of y in equation 1;
x + (6/5) = 5
x = 5 - (6/5)
x = 19/5
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