The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite

9514 1404 393

  one solution; (x, y) = (4/3, 11/3)

Step-by-step explanation:

The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.

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The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.

Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.

15

Step-by-step explanation:

3+1+4+2+3+1+1 = 15