Question

4x +6y =0

x -2y =14 Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair.

Answer 1

subsitute
first solve for a single variable
solve for x in the 2nd ones

x-2y=14
add 2y
x=2y+14
sub that for x


4(2y+14)+6y=0
8y+56+6y=0
14y+56=0
minus 56 both sides
14y=-56
divide both sides by 14
y=-4
sub back

x=2y+14
x=2(-4)+14
x=-8+14
x=6

(x,y)
(6,-4)

Answer 2

Here, x - 2y = 14
x = 14 + 2y

Now, substitute this value into first equation,
4x + 6y = 0
4(14 + 2y) + 6y = 0
56 + 8y + 6y = 0
14y = -56
y = -56/14
y = -4

Substitute it into second equation,
x = 14 + 2(-4)
x = 14 - 8
x = 6

In short, Your Answer would be: (6, -4)

Hope this helps!