MUST HAVE WORK SHOWN! Determine the number of solutions to the system of equations. x + 2y = 2 4y = -2x + 4 a. No Solution b. One solution c. Infinite solutions

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asked Oct 7, 2020 189k views

1 Answer

Dail · Answer 1 · 2020-10-12T11:16:42+0000

set bottom equation to look like first one.

2x+4y=4

this equation is the same equation as the first just multiplied by 2. the answer is c. infinite solutions. you can plug in and solve:

solve bottom equation equal to y, you get y=-1/2x+1

plug into top equation

x+2(-1/2x+1)=2

x-x+2=2

2=2

because that is a true statement it is c. infinite solutions