use substitution to solve the system of equations.\n$2x + y = 3$\n$4x + 4y = 8$
use substitution to solve the system of equations.\n$2x + y = 3$\n$4x + 4y = 8$
Answer
Explanation:
Step1: Solve for y from first equation
From (2x + y = 3), we get (y = 3 - 2x).
Step2: Substitute y into second equation
Substitute (y = 3 - 2x) into (4x + 4y = 8):
(4x + 4(3 - 2x) = 8)
Simplify: (4x + 12 - 8x = 8)
(-4x + 12 = 8)
(-4x = 8 - 12 = -4)
(x = \frac{-4}{-4} = 1).
Step3: Find y using x = 1
Substitute (x = 1) into (y = 3 - 2x):
(y = 3 - 2(1) = 1).
Answer:
((1, 1))