What is (2x+7)/5

Question

Write fraction as a sum or difference

Answer 1

Graphically, it's a straight line. Sometimes it helps to visualize what's going on, by graphing the expression

divide both terms in the numerator by the denominator to get (2/5)x + 7/5

Graph the equation or function y = f(x) = (2/5)x+ 7/5. It's a linear equation, a straight line.

in standard slope intercept form, it's a line with slope equal to 2/5 and y intercept of 7/5

set y=0 to get the x intercept (2/5)x=7/5 or 2x=7 or x = 3.5

Plot 2 points the x and y intercepts, (3.5,0) and (0,1.4) draw a straight line connecting them

and extending forever in both directions. That's the graph of the function given.

By going vertically at any x value up to or down to that graph, you can read off horizontally the y value which is equal to the original given expression (2x+7)/5

Answer 2

When dealing with an expression that has a linear expression as the numerator and a constant number as the  denominator, simply divide each term in the numerator by the number in the denominator. The expression (2x + 7)÷5 is equivalent to (2x/5) + (7/5), which, by the way, it is expressed as a sum.