Answer:
x = 2 , y = 1
Step-by-step explanation:
given the system of equations
x + 4y = 6 → (1)
y = - x + 3 → (2)
substitute y = - x + 3 into (1)
x + 4(- x + 3) = 6 ← distribute parenthesis and simplify left side
x - 4x + 12 = 6
- 3x + 12 = 6 ( subtract 12 from both sides )
- 3x = - 6 ( divide both sides by - 3 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (2)
y = - x + 3 = - 2 + 3 = 1
The solution is x = 2, y = 1
