Answer:
(- 1, 1 )
Step-by-step explanation:
x + 5y = 4 → (1)
4x + 12y = 8 → (2)
multiplying (1) by - 4 and adding to (2) will eliminate x
- 4x - 20y = - 16 → (3)
add (2) and (3) term by term to eliminate x
0 - 8y = - 8
- 8y = - 8 ( divide both sides by - 8 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
x + 5(1) = 4
x + 5 = 4 ( subtract 5 from both sides )
x = - 1
As a check
substitute these values into the left side of both equations and if equal to the right side then they are the solution.
- 1 + 5(1) = - 1 + 5 = 4 = right side
4(- 1) + 12(1) = - 4 + 12 = 8 = right side
(- 1, 1 ) is the solution to the system of equations
