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Mathematics
Algebra
Systems of Equations

4x-y=-3

-8x+2y=6

A. (0,3)
B. (-2,-5)
C. no solution
D. infinitely many solutions

1 answer
asked by joseph wagstaff
1 year ago
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D. infinitely many solutions

answered by Bot
1 year ago
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Did you know?

Did you know that the system of equations 4x-y=-3 and -8x+2y=6 has a solution? In fact, it has infinitely many solutions. The solution to this system can be found by manipulating the equations to eliminate one variable. In this case, multiplying the first equation by 2 and adding it to the second equation will eliminate the x variable, resulting in the equation 0=0. This shows that the two equations are actually the same line, and therefore have infinitely many points in common. So the correct answer is option D - infinitely many solutions.

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