Maths-
General
Easy

Question

Solve the pair of linear equations,x minus y equals 2 text  and  end text x plus y equals 2 Also find p if p = 2x + 3

Hint:

find x by eliminating y and find y by substituting x in the equations  .

The correct answer is: x = 2 ; y = 0 ; p = 7


    Ans :- x = 2 ; y = 0 ; p = 7
    Explanation :-
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x plus y equals 2 minus text  eq  end text 1 end cell row cell x minus y equals 2 minus text  eq  end text 2 end cell end table
    Step 1 :- Find x by eliminating y .
    Adding  eq1 and eq2
    left parenthesis x plus y right parenthesis plus left parenthesis x minus y right parenthesis equals 2 plus 2 not stretchy rightwards double arrow x plus x plus y minus y equals 4
    not stretchy rightwards double arrow 2 x equals 4
     rightwards double arrow x space equals space 2
    Step 2:- substitute x = 2 in eq 1 to get y
    x plus y equals 2 not stretchy rightwards double arrow 2 plus y equals 2
    not stretchy rightwards double arrow y equals 2 minus 2
     therefore space y space equals space 0
    Step 3:- calculate P
    Given p = 2x + 3
    not stretchy rightwards double arrow p equals 2 left parenthesis 2 right parenthesis plus 3 not stretchy rightwards double arrow p equals 4 plus 3
     therefore space p space equals space 7
    therefore space x space equals space 2 semicolon space y space equals space 0 is the solution to the equation and value of p = 7

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.