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What point of intersection would make the system equations true?

a. (0,-1)
b. (1,-4)
c. (-1,-4)
d. (0,-4)

User Bean Taxi
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1 Answer

1 vote

Final answer:

To find the correct point of intersection that satisfies the system of equations, substitute the x and y values into both equations and check which one is true.

Step-by-step explanation:

The point of intersection that would make the system of equations true can be found by substituting the x and y values into both equations. Let's use option (b) (1, -4) as an example:

For equation 1, substituting x = 1 and y = -4:

y = 4x - 5

-4 = 4(1) - 5

-4 = 4 - 5

-4 = -1

This is not true, so point (1, -4) is not the correct point of intersection. You can follow the same process for the remaining options and check which one satisfies both equations.

User Dluk
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8.6k points