what is the solution to this system 3x+5y=6 and -4x+2y=5

Answer 1

Hi Victoria,

One way to solve two equations as follows:

step 1:

3x + 5y = 6 multiple the entire equation by 4 so you get 12x + 20y = 24 OR

-4x + 2y = 5 multiple the entire equation by 3 so you get -12x + 6y = 15

step 2:

now add the two equations together! and solve for y

step 3:

now that you know y, solve for x by pulling that y number into the equation

alternative step 1:

(you can also multiple the first equation by 2

and the second equation by -5)