*will mark brainliest for answer* use the drop-down menus to complete each equation so the statement about its solution is true. drop-down menus go 0-9 only!

5x - 2x + 7 - x

= 3x + 7 - x

= 2x + 7

5x - 2x + 7 - x = 2x + (any number different to 7)

5x - 2x + 7 - x = (any number different to 2)x + any number

5x - 2x + 7 - x = 2x + 7

5x-2x+7-x = 2x+8

5x-2x+7-x = 3x +8

5x-2x+7-x = 2x+7

Step-by-step explanation:

Now, the concept to understand here is, the definition of solution in a linear equation set.

These equations are representing lines, so when lines intersect at a point, the value of x coordinate and y coordinate on that point is solution set for these two lines.

Secondly, we need to understand the concept of slopes. Slope is the angle any line making with the x axis. Now, slope plays a really important part in solution sets of lines.

Consider a standard model of line

y = mx + b

now, m is the slope and b is the y-intercept. When any line intersect x and y coordinates the value of the y-coordinate at y axis and value of x coordinate on x axis at intersections is called x and y intercepts.

Now for equation given,

5x-2x+7-x

If you simplify it, it will become

2x + 7

Converting it into standard model

y = 2x + 7, you can see, m =2 and 7 =b.

So now for the question asked, if value of m is same for two lines, they will never intersect and there will be no solution for them.

That is why for question 1

5x-2x+7-x = 2x+8 is the answer because you can see that slope m for both equations is "2", hence there will be no solution.

For question 2

5x-2x+7-x = 3x +8, you can see that slope m for first equation is "2" while for second equation is "3", so they will intersect at one point and there will be one solution.

For question 3

5x-2x+7-x = 2x+7, you have to understand that in this case, the two lines are basically same and overlap each other, so they are not meeting at a single point, but both lines meet at every point on each other so there will be infinite solutions.

step-by-step explanation: