What is the solution to the following system of equations: 2x + 3y = 5 AND 5x = 5y -25

point form (-2,3)

Equation form

x=-2, y=3

Step-by-step explanation:

solve for the first variable in one of the equation, then substitute the result into the other equation.

(-2,3)

Step-by-step explanation:

5x=5y-25

x=y-5    divide both sides by 5

use substitution.

2(y-5)+3y=5

2y-10+3y=5    distribute the parenthesis

5y-10=5    combine like terms

5y=15    add 10 to both sides

y=3    divide both sides by 5 to get y alone

5x=5(3)-25    replace y with 3, the value we found above

5x=15-25    multiply 5 and 3

5x=-10    subtract 25 from 15

x=-2    divide both sides by 5 to get x alone

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula