Question

Identify the solution(s) of the system of equations, if any.

3x-2y=6
5x=5-25y

Answer 1

well this is a tough u have to multiply both equations soo u can elemenate one x or y

Answer 2

soo lets choose to eliminate x
equation 1 * -5 : -15x+10y=34
equation 2 * 3 : 15x +75y =15

Answer 3

add them together we have 85y=49
y=49/85

Answer 4

something is wrong

Answer 5

wouldn't equation 1 be -10y ?

Answer 6

equation 1 -15x+10y=-34

Answer 7

oh because its a negative and negative =+

Answer 8

5x = 5 - 25y
x = 1 - 5y
now sub 1 - 5y in for x in the other equation

Answer 9

3x - 2y = 6
3(1 - 5y) - 2y = 6
can you take it from here and solve for y ?

Answer 10

or you can continue doing elimination. I personally think substitution is sometimes easier

Answer 11

equation 1 * -5 : -15x+10y=-34
equation 2 * 3 : 15x +75y =15
85y=-34+15

Answer 12

it is 30 not 34 sorry

Answer 13

Its ok- I didn't catch it either

equation 1 * -5 : -15x+10y=-30
equation 2 * 3 : 15x +75y =15

Answer 14

85y=-15, right?

Answer 15

yup
soo 85y=-15
y=-3/17

Answer 16

by substitution
5x=5-25y
5x=5-(25*-3/17)
x= 32/17

Answer 17

gotcha! I appreciate how you explain things, very easy to follow!

Answer 18

to confirm the answer we can use the other equation 3x-2y=6
and sub x=32/17 and y =-3/17
3*(32/17)-2(-3/17) we would find it equals 6

Answer 19

glad i can help out :)