Question

Solve the system algebraically.

4x - 5y = 3
x = 3 - y

What is the value of x?

Answer 1

you can solve by substitution since x is by itself in one equation

so plug (3 - y) in for x in the other equation

4(3 - y) - 5y = 3

12 - 4y - 5y = 3

12 - 9y = 3

-9y = -9

y = 1

plug 1 back in for y in one of the equations

x = 3 - 1

x = 2

x = 2, y = 1

(2, 1) is the solution or intersection

Answer 2

Correct me if i'm wrong :)