ELIMINATION
8y+4x=7
6y-8x=41
6 answers
ANSWER
REACTION
ELIMINATION
YES
now you're just getting annoying ...
8y+4x=7
6y-8x=41
Double the 1st equation to get
16y+8x=14
6y-8x=41
Now just add the two equations to eliminate x
22y = 55
and finish it off from there.
8y+4x=7
6y-8x=41
Double the 1st equation to get
16y+8x=14
6y-8x=41
Now just add the two equations to eliminate x
22y = 55
and finish it off from there.
Multiply first equation by 2
16 y + 8 x = 14
Add the result to the second equation.
16 y + 8 x = 14
+
6 y - 8 x = 41
_______________
22 y = 55
y = 55 / 22 = 11 • 5 / 11 • 2 = 5 / 2
Put this value in first equation.
8 y + 4 x = 7
8 • 5 / 2 + 4 x = 7
20 + 4 x = 7
Subtract 20 to bith sides.
4 x = - 13
x = - 13 / 4
You can write solution as:
( - 13 / 4 , 5 / 2 )
16 y + 8 x = 14
Add the result to the second equation.
16 y + 8 x = 14
+
6 y - 8 x = 41
_______________
22 y = 55
y = 55 / 22 = 11 • 5 / 11 • 2 = 5 / 2
Put this value in first equation.
8 y + 4 x = 7
8 • 5 / 2 + 4 x = 7
20 + 4 x = 7
Subtract 20 to bith sides.
4 x = - 13
x = - 13 / 4
You can write solution as:
( - 13 / 4 , 5 / 2 )