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In Mathematics / High School | 2025-07-03

Solve this system of equations:

[tex]\begin{array}{l}
y=x^2-3 x+12 \
y=-2 x+14\end{array}[/tex]

What are the values of [tex]x[/tex]?

A. [-2,1]
B. (-2,4)
C. [-1,2]
D. [-1,4]

Asked by lexih9095

Answer (2)

The values of x are { − 1 , 2 } .
Examples
Systems of equations are used in various real-world applications. For example, in economics, they can be used to model supply and demand curves to find the equilibrium price and quantity. In engineering, they can be used to analyze circuits or structural systems. In computer graphics, they can be used to solve for the intersection of lines and surfaces. Understanding how to solve systems of equations is a fundamental skill in many fields.

Answered by GinnyAnswer | 2025-07-03

The values of x that satisfy the system of equations are {-1, 2}. The correct answer is option C. [-1, 2].
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Answered by Anonymous | 2025-07-04

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