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Solve the system of equations: 3 � - � = 17 5 � + 3 � = 5 (-4, 5) (4, -5) (-4, -5) (4, 5)

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Answer: To solve the system of equations, we can use the substitution method. We'll start by isolating one of the variables in one of the equations.

The first equation is 3x - 2y = 17

We can solve for x by adding 2y to both sides:

3x = 17 + 2y

x = (17 + 2y)/3

We can substitute this expression for x into the second equation:

5((17 + 2y)/3) + 3y = 5

Simplifying, we get:

50 + 10y + 3y = 5

13y = -45

y = -3.5

Now we can substitute this value of y into the equation we found earlier for x:

x = (17 + 2(-3.5))/3

x = (17 - 7)/3

x = 10/3

x = 3.333

So the solution of the system of equations is (x,y) = (3.333, -3.5)

Which is not in the options provided, so the answer is no solution.

Explanation:

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