The solution for the given system of equations as per linear and quadratic equation is (x, y) = (1, 2).
What is a linear equation?
"A linear equation is an equation in which the highest power of the variable is always 1."
What is a quadratic equation?
"A quadratic equation is an equation in which the highest power of the variable is always 2."
Given two linear equations are:
y = 5x – 3 (1)
y = x² + 3x – 2 (2)
Therefore, combining the two equations, we get:
5x - 3 = x² + 3x - 2
⇒ x² - 5x +3x - 2 + 3 = 0
⇒ x² - 2x + 1 = 0
⇒ (x)² - 2 × x × 1 + (1)² = 0
⇒ (x - 1)² = 0
⇒ (x - 1) = 0
⇒ x = 1
Now substituting the value of 'x' in the equation (1), we get:
y = 5 × 1 - 3
⇒ y = 2
Therefore, by solving the given two equations, we get: x = 1, y = 2.
Learn more about linear and quadratic equation here: https://brainly.com/question/26020597
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