Maths-
General
Easy

Question

If  x equals 2 over 3 y and y equals 18 what is the value of 2x - 3 ?
A) 21
B) 15
C) 12
D) 10

hintHint:

Hint:
  • The linear equation is an equation whose degree is 1 .
  • We can solve linear equations in two variables by the substitution method.

The correct answer is: Hence, The value of 2x 3 is 21 .


    Explanation:
    • We have given two equations  x equals 2 over 3 y text  and  end text y equals 18
    • We have to find the value of 2x - 3
    • We will first solve the given two-equation using the substitution method and then we put the value x in 2x - 3  and then get the answer.
    Step 1 of 2:
    The given equations are  x equals 2 over 3 y text  and  end text y equals 18
    Now, substitute the value of  y in the first equation,
    We will get
    x equals 2 over 3 left parenthesis 18 right parenthesis
    x equals 36 over 3
    x equals 12
    Step 2 of 2:
    Now we will put the value of x in 2x - 3
    So,
    2 x minus 3
    2 left parenthesis 12 right parenthesis minus 3 ∣
    21
    Final answer:
    Hence, The value of 2 x minus 3 is .21

    Note: 
    We can also solve this question graphically, The point of intersection of graphs of equations
    x equals 2 over 3 y text  and  end text y equals 18will give us the value of  x. And then by putting this value we can easily get the answer.

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