Answer :

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