Answer:

1-5.) x + y = 20

6-10.) The two numbers are 28 and -18

Step-by-step explanation:

1-5. the equation of a line in slope-intercept form is y = mx + b, where m = slope and b = y-intercept. Substituting the values of the given slope and y-intercept we get:

y = -x + 20

then putting it in standard form,

x + y = 20

2. Let: x = 1st number; and y = 2nd number

x + y = 10

x - y = 46

Adding the two equations to eliminate y gives:

2x = 56

x = 28

Substitute x to any of the previous equation to obtain the value of y:

x + y = 10

28 + y = 10

y = 10 - 28

y = -18

or

x - y = 46

28 - y = 46

y = 28 - 46

y = -18