Step 1 :Substitute the expression for y from the second equation into the first equation: \(7x + 10(2x + 9) = 36\)
Step 2 :Simplify the equation: \(7x + 20x + 90 = 36\)
Step 3 :Combine like terms: \(27x + 90 = 36\)
Step 4 :Subtract 90 from both sides: \(27x = -54\)
Step 5 :Divide both sides by 27: \(x = -2\)
Step 6 :Substitute the value of x back into the second equation: \(y = 2(-2) + 9\)
Step 7 :Simplify the equation: \(y = -4 + 9\)
Step 8 :Find the value of y: \(y = 5\)
Step 9 :\(\boxed{x = -2, y = 5}\)