Step 1 :Substitute the expression for y from the second equation into the first equation: \(2x + (6x + 4) = 20\)
Step 2 :Simplify the equation: \(8x + 4 = 20\)
Step 3 :Solve for x: \(8x = 16\) and \(x = 2\)
Step 4 :Substitute the value of x back into the second equation to find the value of y: \(y = 6(2) + 4\)
Step 5 :Solve for y: \(y = 12 + 4\) and \(y = 16\)
Step 6 :\(\boxed{x = 2, y = 16}\)