if 2x+3y=1 and x+y÷x=3÷x then
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I believe you want to know the value of x.
ANSWER : -4/3 , 2
EXPLANATION
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☁️ Equation 2 = x+ (y/x) = 3/x
☁️Squaring both sides by x, we get, x^2 + y = 3 — (3)
☁️Now multiply eqn (3) by 3, we get, 3x^2 + 3y = 9 — (4)
☁️By subtracting eqn (1) and (4) [check attachment]
we get 3x^2 -2x -8 = 0
☁️Now solve the quadratic equation
3x^2 -2x -8 = 0
=> 3x^2 -6x + 4x -8 = 0
=> (3x+4)(x-2) = 0
x = -4/3 and x = 2
ANSWER : -4/3 , 2
EXPLANATION
————————
☁️ Equation 2 = x+ (y/x) = 3/x
☁️Squaring both sides by x, we get, x^2 + y = 3 — (3)
☁️Now multiply eqn (3) by 3, we get, 3x^2 + 3y = 9 — (4)
☁️By subtracting eqn (1) and (4) [check attachment]
we get 3x^2 -2x -8 = 0
☁️Now solve the quadratic equation
3x^2 -2x -8 = 0
=> 3x^2 -6x + 4x -8 = 0
=> (3x+4)(x-2) = 0
x = -4/3 and x = 2
Attachments:
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