Answer:
you can eliminate the x terms in this system by multiplying each side by 3.
Explanation:
in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together
a written example for further clarification:
step 1:
4y + 3x = -6
3*(y - x = -5)
up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)
step 2:
distribute the 3 to all terms in the second equation. this gives you:
(3y-3x = -15).
step 3:
now add this new equation to the first equation (4y+3x=-6).
This gives you:
4y+3x=-6
+
3y-3x=-15
then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).
which gives you (7y=-21)
see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!