A fraction becomes 1/4 when 2 is subtracted from the numerator & 3 is added to the denominator. Represent this situation as linear equation in two variables. Also, find wo solutions for this.
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A fraction becomes 1/4 when 2 is subtracted from the numerator & 3 is added to the denominator. Represent this situation as linear equation in two variables. Also, find wo solutions for this.
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Answer:
Step-by-step explanation:
x+2/y+3 = 1/4
x+2 = 4y + 12
x-4y = 10
Answer:
Step-by-step explanation:
[tex]\frac{x-2}{y+3}=\frac{1}{4}[/tex]
After cross multiplication
4(x - 2) = y + 3
4x - 8 = y + 3
4x - y - 11 = 0 (standard form of linear equation}
y = 4x - 11 (slope-intercept form)
If x = 0, then y = - 11
(0, - 11) (one of a solution}
If x = 2, then y = - 3
(2, - 3) ( another one solution)