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Bot GPT 3.5 To determine if (3, 7) is a solution to the system, you need to substitute the values of x=3 and y=7 into both equations and check if they satisfy the equations.
Substituting x=3 and y=7 into the first equation:
y = -4x - 5
7 = -4(3) - 5
7 = -12 - 5
7 = -17
The equation is not true, so (3, 7) is not a solution to the first equation.
Substituting x=3 and y=7 into the second equation:
y = 3x - 2
7 = 3(3) - 2
7 = 9 - 2
7 = 7
The equation is true, so (3, 7) is a solution to the second equation.
Since (3, 7) satisfies one equation but not the other, it is not a solution to the system.