Mathematics
Grade10
Easy

Question

Solve the system of equations by graphing.
open curly brackets table attributes columnalign left end attributes row cell 3 x minus y equals negative 4 end cell row cell 2 y equals 6 x plus 2 end cell end table close

  1. No Solution
  2. Infinitely Many Solutions
  3. (-1, 1)
  4. (-2, -2)

hintHint:

Solve for x and y to find out the answer.

The correct answer is: No Solution


    H e r e comma
3 x space minus space y space equals space minus 4 space space space space..... open parentheses 1 close parentheses
2 y space equals space 6 x space plus space 2
therefore space y space equals space fraction numerator 6 x space plus space 2 over denominator 2 end fraction
therefore space y space equals space 3 x space plus space 1 space space space..... open parentheses 2 close parentheses

S u b s t i t u t i n g space e q u a t i o n space 2 space i n space e q u a t i o n space 1 comma
3 x space minus space y space equals space minus 4
3 x space minus space open parentheses 3 x space plus space 1 close parentheses space equals space minus 4
3 x space minus 3 x space minus 1 space equals space minus 4
0 space minus 1 space equals space minus 4
minus 1 space equals space minus 4

H e r e comma space L H S space not equal to space R H S

H e n c e comma space t h e s e space e q u a t i o n s space h a v e space n o space s o l u t i o n.

    An equation with no solution is one that is never true, regardless of which values we choose for the variables in the equation.

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