Mathematics
Grade-8
Easy

Question

-x – y = -5
-3x + 3y = -3

  1. 3, 2
  2. 4, 5
  3. 6, 7
  4. 9, 10

hintHint:

The Linear Combination Method, aka The Addition Method , aka The Elimination Method. Add (or subtract) a multiple of one equation to (or from) the other equation, in such a way that either the x-terms or the y -terms cancel out. Then solve for x (or y, whichever's left) and substitute back to get the other coordinate.

The correct answer is: 3, 2


    bold italic U bold italic s bold italic i bold italic n bold italic g bold space bold italic E bold italic l bold italic i bold italic m bold italic i bold italic n bold italic a bold italic t bold italic i bold italic o bold italic n bold space bold italic m bold italic e bold italic t bold italic h bold italic o bold italic d
minus x space – space y space equals space minus 5 space c a n space a l s o space b e space w r i t t e n space a s space x plus y equals 5 horizontal ellipsis horizontal ellipsis horizontal ellipsis left parenthesis a right parenthesis
minus 3 x space plus space 3 y space equals space minus 3 space c a n space a l s o space b e space w r i t t e n space a s space 3 x minus 3 y equals 3 horizontal ellipsis horizontal ellipsis horizontal ellipsis. left parenthesis b right parenthesis
M u l t i p l y i n g space 3 space o n space E q u a t i o n left parenthesis a right parenthesis comma
3 cross times left parenthesis x plus y equals 5 right parenthesis equals 3 x plus 3 y equals 15 horizontal ellipsis horizontal ellipsis horizontal ellipsis horizontal ellipsis left parenthesis c right parenthesis
S u b t r a c t i n g space e q u a t i o n space left parenthesis a right parenthesis space a n d space left parenthesis c right parenthesis
space space space space space space space 3 space x plus 3 y equals 15
minus
space space space space space space space space 3 x minus space 3 y equals 3
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
space space space space space space space space plus 6 y equals 12
equals space space space space space space space y equals 2
bold italic S bold italic u bold italic b bold italic s bold italic t bold italic i bold italic t bold italic u bold italic t bold italic e bold space bold italic v bold italic a bold italic l bold italic u bold italic e bold space bold italic o bold italic f bold space bold italic y bold space bold italic i bold italic n bold space bold italic a bold italic n bold italic y bold space bold italic e bold italic q bold italic u bold italic a bold italic t bold italic i bold italic o bold italic n bold space bold italic e bold italic i bold italic t bold italic h bold italic e bold italic r bold left parenthesis bold italic a bold right parenthesis bold italic o bold italic r bold left parenthesis bold italic b bold right parenthesis bold comma bold italic w bold italic e bold space bold italic g bold italic e bold italic t
x equals 3
bold italic T bold italic h bold italic u bold italic s bold comma bold left parenthesis bold italic x bold comma bold italic y bold right parenthesis bold equals bold left parenthesis bold 3 bold comma bold 2 bold right parenthesis

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