3. which graph best represents the solution to the following system? (1 point)
(5x – 2y < 10

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

----> inequality A

isolate the variable y

Adds 2y both sides

Subtract 10 both sides

Divide by 2 both sides

Rewrite

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is

The slope of the solid line is positive

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

-----> inequality B

Isolate the variable y

Subtract x both sides

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is

The slope of the dashed line is negative

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

there is no image attacted

so, converting firstly the mixed fractions to improper fractions and then "adding".