Mathematics
Grade10
Easy

Question

Find the solution to the system of equations.
y = 3x - 8
y = 4 - x

  1. (3,1)
  2. (1,3)
  3. (-3,1)
  4. (3,-1)

hintHint:

Use substitution method to find the solution of the equations.

The correct answer is: (3,1)


    G i v e n comma
y space equals space 3 x space minus space 8 space space space space space space.... open parentheses 1 close parentheses
y space equals space 4 space minus space x space space space space space space space space.... open parentheses 2 close parentheses

C o m p a r i n g space b o t h space t h e space e q u a t i o n s space 1 space a n d space 2 comma
3 x space minus space 8 space equals space 4 space minus space x
3 x space plus space x space equals space 4 space plus space 8
4 x space equals space 12
x space equals space open parentheses 12 over 4 close parentheses
therefore x space equals space 3

S u b s t i t u t i n g space t h e space v a l u e space o f space x space i n space e q u a t i o n space 2 comma
y space equals space 4 space minus space x
y space equals space 4 space minus space 3
therefore y space equals space 1

H e n c e comma space t h e space s o l u t i o n space t o space t h e space s y s t e m space o f space e q u a t i o n s space i s space open parentheses 3 comma 1 close parentheses.

    You can also use the elimination method to find the answer.

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