Solve for x and y : 3x + 2y = 2x + y + 3 = 4x + 3y − 3
Answers
Answer:
Concept :
The polynomial equations of type f(x) = ax2 + bx + c = 0 in one variable, where a, b, c, and R are all greater than zero, are known as quadratic equations. It is really the general form of a quadratic equation, where "a" stands for the leading coefficient and "c" for the term of f. (x). The roots of the quadratic equation are the values of x that fulfil the equation (, ). It is inevitable that the quadratic equation has two roots. The character in roots might be made up or genuine. A quadratic polynomial becomes a quadratic equation when it is equal to zero. The quadratic equation's roots are the values of x that satisfy the equation.
Explanation:
Given :
3x + 2y = 2x + y + 3 = 4x + 3y − 3
To Find :
x and y
Solution :
3x + 2y = 2x + y + 3 = 4x + 3y − 3
Therefore
3x + 2y = 2x + y +3
x + y = 3 .... Equation 1
2x + y + 3 = 4x + 3y - 3
2x + 2y = 6 ...... Equation 2
From (1) and (2):
Since the ratio of the corresponding coefficients are same.
Equations have infinitely many solutions.
Thus x + y = 3.
For different values of x , we can get different values of y.
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