Answered

Which systems of equations have exactly one solution?


Choose all answers that are correct.

  1. y = 2x

y=2x+1


2 . x =5

y = -4

  1. y = x+6

y -6 =x


4 . y= 3x+ 4

y =3

Verified Answer :

naǫ

1.
\(y=2x \\ y=2x+1 \\ \\ 2x=2x+1 \\ 2x-2x=1 \\ 0=1 \\ not \ true - no \ solution\)

2.
\(x=5 \\ y=-4 \\ already \ solved - one \ solution\)

3.
\(y=x+6 \\ y-6=x \\ \\ y=x+6 \\ y=x+6 \\ \\ x+6=x+6 \\ x-x=6-6 \\ 0=0 \\ true - infinitely \ many \ solutions\)

4.
\(y=3x+4 \\ y=3 \\ \\ 3=3x+4 \\ 3-4=3x \\ -1=3x \\ x=-\frac{1}{3} \\ \\ (x,y)=(-\frac{1}{3},3) - one \ solution\)

The answer is 2 and 4.

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