Which system is the solution of the graph

Step-by-step explanation:

Remember that the solution of a linear system of equations is shown by the interception point between those lines.

In this case, the interception point is at (2,3).

Also, the horizontal line is . Notice that the solution are is below this line, that means the inequality that represents that part is .

Now, the other line has y-intercept at -1, that means .

Then, we use two points (0,-1) and (2,3) to find its slope.

So, the equation that represents that line is .

Notice that the area of solution is above this line, that means the inequality is

Therefore, the sytem that represents the graph is

Notice that we used for the solid line and for the not solid line.

7.3

step-by-step explanation:

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -