Answer:
x = 0 , y = 2
Step-by-step explanation:
given the system of equations
x + 3y = 6 → (1)
2x + 4y = 8 → (2)
multiplying (1) by - 2 and adding the result to (2) will eliminate x
- 2x - 6y = - 12 → (3)
add (2) and (3) term by term to eliminate x
(2x - 2x ) + (4y - 6y ) = 8 - 12
0 + (- 2y) = - 4
- 2y = - 4 ( divide both sides by - 2 )
y = 2
substitute y = 2 into either of the 2 original equations and solve for x
substituting into (1)
x + 3(2) = 6
x + 6 = 6 ( subtract 6 from both sides )
x = 0
The solution is x = 0 , y = 2
Answer:
[x+3y=6]
2x+4y=8
solate x for x+3y=6: x=6
substitute x=6-3y
[2(6-3y)+4y=8]
simplify
[12-2y=8]
Step-by-step explanation:
lsotate y for 12-2y=8
for x=6-3y
substitutey
x=6-3.2
simplify
x=o
the solution to the system of equations is x=o,y=2