Question

How many solutions are there to thesystem of equations, x + y = 1and 2x + 2y = 2?​

Answer 1

There are infinitely many solutions of the system of equations, x + y = 1

and 2x + 2y = 2

Step-by-step explanation:

We need to find how many solutions are there to the  system of equations.

$x+y=1\,\,\,(1)\\2x+2y=2\,\,\,(2)$

Solving:

Multiply equation (1) with 2 and subtract with equation(2)

$2x+2y=2\\2x+2y=2\\-\,\,-\,\,\,\,\,\,\,\,\,\,\,\,-\\------\\0=0$

Since our answer is 0=0 so, there are infinitely many solutions.

Keyword: Systems of equations

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