Y=x+12
4x+2y=27
solve each system of equation algebraically

// Solve equation [1] for the variable  y  
 

// Plug this in for variable  y  in equation [2]

// Solve equation [2] for the variable  x  

// By now we know this much :

// Use the  x  value to solve for  y  

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

gdp is the best phrase!