Mathematics
Grade10
Easy

Question

Solve for x and y
3x + 2y = 16
7x + y = 19

  1. (-2,5)
  2. (-2,-5)
  3. (2,-5)
  4. (2,5)

hintHint:

Use substitution method to find the solution of the equations.

The correct answer is: (2,5)


    G i v e n comma
3 x space plus space 2 y space equals space 16 space space space space space space.... open parentheses 1 close parentheses
7 x space plus space y space equals space 19 space space space space space space space space.... open parentheses 2 close parentheses

T o space f i n d comma
x space a n d space y

H e r e comma
7 x space plus space y space equals space 19
therefore y space equals space 19 space minus space 7 x space space space space space.... open parentheses 3 close parentheses

S u b s t i t u t i n g space e q u a t i o n space 3 space i n space e q u a t i o n space 1 comma
3 x space plus space 2 open parentheses 19 space minus space 7 x close parentheses space equals space 16
3 x space plus space 38 space minus space 14 x space equals space 16
38 space minus space 11 x space equals space 16
11 x space equals space 38 space minus space 16
11 x space equals space 22
x space equals space open parentheses 22 over 11 close parentheses
therefore x space equals space 2

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 3 comma
y space equals space 19 space minus space 7 x
y space equals space 19 space minus space 7 open parentheses 2 close parentheses
y space equals space 19 space minus space 14
therefore y space equals space 5

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 2 comma 5 close parentheses.

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

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