Mathematics
Grade10
Easy

Question

Solve the following using the substitution method and find the value of x and y:
-2x - 2y = -14
-5x – y = -23

  1. 1, 2
  2. 3, 4
  3. 2, 1
  4. 4, 3

Hint:

The linear equation in two variable is an equation with two variable and degree one.

The correct answer is: 4, 3


    Step 1 of 2:
    We have given two linear equations
    -2x – 2y = -14.....(i)
    -5x – y = -23......(ii)
    Rewrite the equation (i)
    -2y = -14 + 2x
    y= fraction numerator negative 14 plus 2 x over denominator negative 2 end fraction = fraction numerator 14 minus 2 x over denominator 2 end fraction
    Now substitute the value of y in 2nd equation
    -5x - fraction numerator 14 minus 2 x over denominator 2 end fraction = -23
    fraction numerator negative 10 x minus 14 plus 2 x over denominator 2 end fraction = -23
    -8x – 14 = - 46
    -8x = - 46 + 14
    -8x = - 32
    x = 4
    Step 2 of 2:
    Now the value of x in 1st equation
    -5(4) – y =  - 23
    -20 – y = -23
    y = 3

    In the substitution method, we first write one variable in the form of another variable.

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