How many solutions for linear equation 3x + 5y = 25 can be found so that −20 < y < 10, and x is an integer?

50

Step-by-step explanation:

3x = 25 - 5y

-100 < 5y < 50

-50 < -5y < 100

-25 < 25 - 5y < 125

-8.333 < x < 41.667

41+8+1 = 50

answer with explanation:

properties of numbers plotted on number line:

      numbers on the right of number line is bigger.

the number that nicole wants to compare using number line

first plot these points on the number line, and real numbers on the right of number line is bigger than any real number on the left.

to plot , , on the number line, mark 3 lines between 1 and 2, equidistant from each other ,which we call   and 2.

to plot, 1.5 on the number line, mark a line equidistant between 1 and 2.

you will find that,   is on right of 1.5.so,     is bigger than 1.5.