Question

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

Answer 1

point form (-2,3)

Equation form

x=-2, y=3

Explanation:

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

Answer 2

(-2,3)

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