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The blank of a system of equations is the poiny where the two lines blank meaning that is the only (x,y) coordinate that works fir both equations.

User Tushar H
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Final answer:

The intersection of a system of equations is the point where the two lines intersect, meaning it is the only (x,y) coordinate that works for both equations. The intersection point can be found using the method of substitution or elimination.

Step-by-step explanation:

The intersection of a system of equations is the point where the two lines intersect, meaning that it is the only (x,y) coordinate that works for both equations.



In order to find the intersection point, you can use the method of substitution or elimination. Substitution involves solving one equation for one variable and substituting that expression into the other equation. Elimination involves adding or subtracting the equations to eliminate one variable and solve for the other.



For example, let's say you have the system of equations:



Equation 1: 3x + 2y = 8

Equation 2: 2x - y = 1


Therefore, the intersection point of the two lines is (10/7, -1).

User Wanderson Santos
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