Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
-x + 2y = 3
3y = -3

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

Hint:

In the given question, we are required to find the value of x and y from the given two equation using the substitution method.

The correct answer is: -5, -1


    Step by step solution:
    Given equation:
    open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell negative x plus 2 y equals 3 end cell blank row cell 3 y space equals space minus 3 end cell blank end table close
    now, from  the second equation we get
    3 y space equals space minus 3
rightwards double arrow y space equals space minus 1
    Now, we will substitute the value of y in the first equation to get the value of x:
    -x  + 2y = 3
    rightwards double arrow-x + 2(-1) = 3
    rightwards double arrow -x -2 = 3
    rightwards double arrow-x = 5
    rightwards double arrowx = -5
    Thus, x = -5 and y = -1(answer)
    Hence, option(a) is the correct option.

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