Answer:
( 1 , 2 )
Step-by-step explanation:
x + 4y = 9
x = 9 - 4y .... ( 1)
2x - 4y = -6 ...( 2)
substitute the 9 - 4y as x in the second equation
<u>2( 9 - 4y )</u> - 4y = -6
distribute 2
18 <u>- 8y - 4y</u> = -6
combine like terms
18 - 12y = -6
Subtract 18 from both sides
<u>18 - 18</u> - 12y = <u>-6 - 18</u>
- 12y = - 24
divide both sides by -12
<u>-12y / -12</u> = <u>-24/-12</u>
y = 2
Now , substitute the 2 as y in the second equation
2x - 4y = -6
2x - 4 ( 2 ) = -6
2x - 8 = -6
add 8 to both sides
2x<u> - 8 + 8</u> =<u> -6 + 8</u>
2x = 2
divide both sides by 2
2x / 2 = 2/2
x = 1.
