What Is The Solution To The System Of Equations? 2X – Y = 7 Y = 2X + 3

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Question

What is the solution to the system of equations? 2x – y = 7 y = 2x + 3 (2, 3) (2, 7) no solution infinite number of solutions

Answer

All you have to do to solve this equation is plug the equation you have that already is manipulated for y. Y=2X+3 and substitute it into the equation for y in the first equation, 2x-y=7. So it becomes 2x-(2x+3)=7. By distributing the – sign into the brackets we get 2x-2x-3=7. 0-3=7. -3 does not equal 7. Thus I would think the answer is no solution.

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