What is the solution to the system of equations?
y = –3x – 2
5x + 2y = 15

x = -19

y = 55

Step-by-step explanation:

Given:

y = –3x – 2 (rearrange)

3x + y = -2 > eq1

5x + 2y = 15 > eq2

multiply eq1 by 2:

6x + 2y = -4 > eq 3

By elimination: subtract eq2 from eq 3

( 6x + 2y) - (5x+2y) = -4 - 15

x = -19  (Answer)

substitute x = -19 into eq1

3(-19) + y = -2

-57 + y = -2

y = -2 + 57 = 55 (Answer)

Step-by-step explanation:

The slope of a line is used to describe the average rate of change. Often referred to as the (), the general formula to find the slope of a line is the following,

Where () and () are both points on the line. One is given that the following points are on the line,

Substitutes these values into the formula and solve for the slope,

Simplify, remember negative times negative equals positive,

Combine like terms,

Simplify further, remember a fraction is another way of representing division,