Answer:
Step 1: Solve for x using substitution.
[tex]2x + 2y = 14\\y = 3x - 5\\\\2x + 2(3x - 5) = 14\\\\2x + 6x - 10 = 14\\\\8x - 10 = 14\\\\8x = 24\\\\x = 3[/tex]
Step 2: Pick an equation and solve for y by substituting x for 3.
[tex]\\\\2(3) + 2y = 14\\\\6 + 2y = 14\\\\2y = 8\\\\y = 8[/tex]
Step 3: Put what you got for x and y and you get the solution for this system.
This system has 1 solution: (3,8)
