Solve the following pair of linear equations by any suitable method : 2 x + y = 5, 2x - 3y = 5.
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Answer:
If 2 x + y = 5, 2x - 3y = 5. then coordinates are (2.5,0)
Step-by-step explanation:
Given equations :
2x + y = 5 ------- (1)
2x - 3y = 5 --------- (2)
If 2x + y = 5
then y = 5 - 2x put in (2), we get
2x - 3(5-2x) = 5
2x - 3(5) - 3(-2x) = 5
2x - 15 + 6x = 5
8x = 5 + 15
8x = 20
x = 20/8 = 2.5
Put x = 2.5 in y = 5 - 2x
y = 5 - 2(2.5)
y = 5 - 5
y = 0
So, coordinates are (2.5,0)
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