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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

show us the graphs dude

step-by-step explanation: