A Part:
The linear system of equation is can be seen as:
(1) 2.y = 3.x + 2
(2) y = 2.x² - 3.x + 2
A sytem of equations are a given number of equations from which a common solution of the system can be found..
A linear equation is an algebraic equation im which the maximum exponent of the variables is one and the graph of the equation is a straight line which is of the form: y = mx + c.
A maximum value of the exponents of the variable quadratic equation is 2, and the general form of the quadratic equation is ax² + bx + c, where a, b, and c are real numbers.
Therefore, the system of equation that can be created is as follows:
2.y = 3.x + 2
y = 2.x² - 3 + 2
To solve the equation:
Let's divide equation (1) by 2, and equate both values of y to find the common solution.
2y/2 = (3x + 2)/2 = 1.5x + 1
y = 1.5x + 1
Let's equate bothj values of y:
y = 1.5x + 1
y = 2x² - 3 + 2
So,
1.5x + 1 = 2x² - 3 + 2
2x² - 3x - 1.5x + 2 - 1 = 0
2x² - 4.5x + 1 = 0
Using formula method:
x = 4.5 ± √((-4.5² - 4 * 2 * 1))/(2 * 2)
x = 2, or x = 0.25
From which we get:
y = 1.5 × 2 + 1 = 4, or y = 1.5 × 0.25 + 1 = 1.375.