The only solution the system of the equation has is x = -1/3.
The number of solutions is one.
<h3>What is an equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
The system of equations:
y = -3x - 1
y = x² - 3x + 4
The solutions of the equation.
y = 0
So,
-3x - 1 = 0
-3x = 1
x = -1/3
x² - 3x + 4 = 0
It is in the form of ax² + bx + c = 0
a = 1, b = -3, and c = 4
Now,
x = -b ± √(b² - 4ac) / 4a
x = 3 ± √(9 - 16) / 4
x = 3 ±√-7 / 4
x = 3 ±i√7 / 4
This is a complex root.
So,
These are not real solutions.
Thus,
The only solution the system of the equation has is x = -1/3.
The number of solutions is one.
Learn more about equations here:
brainly.com/question/17194269
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