Maths-
General
Easy

Question

x + 5y = 5
2x - y = -4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?

The correct answer is:


    HINT :- find the quadrant of intersection of two lines and find the option.
    Given, the equation are x + 5y = 5 and 2x - y = -4
    Step 1: find y by eliminating x
    Upon 2(x + 5y) - (2x - y) = 2(5) - (-4)
    We get 2x - 2x + 10y + y = 10 + 4
    11y = 14 ⇒ y = 14 over 11.
    Step 2:find x by substituting y = 14 over 11.
    x plus 5 open parentheses fraction numerator begin display style 14 end style over denominator 11 end fraction close parentheses equals 5
x space equals space 5 space minus 5 open parentheses fraction numerator begin display style 14 end style over denominator 11 end fraction close parentheses
x space equals space 5 space minus space fraction numerator begin display style 70 end style over denominator 11 end fraction
x space equals space fraction numerator begin display style 55 space minus space 70 end style over denominator 11 end fraction
x space equals space fraction numerator begin display style negative 15 end style over denominator 11 end fraction
    They intersect at open parentheses negative 15 over 11 comma space 14 over 11 close parentheses in 2nd quadrant so only possible option is C

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