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Verified Answer :

texaschic101

Where the two lines intersect is ur solution. So ur system of equations has exactly 1 solution

Simple...

you have: 3x+2y=6 and -4x+5y=15

re-write the equations-->>>

3x+2y=6 into-->>y=\(-\frac{3}{2} x+3\)

and

-4x+5y=15 into-->>\(y= \frac{4}{5} x+3\)

Set them equal to each other to solve for x-->>

\(- \frac{3}{2} x+3= \frac{4}{5} x+3\)

x=0

Now plug in x...to solve for y...

\(- \frac{3}{2} (0)+3= \frac{4}{5} (0)+3\)

3=3

(0,3)

Thus, your answer, A.




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