can ANYONE help me:/ 5x+4y=6 -2x-3y=-1

simplifying linear equations!

You have a "system" of linear equations. Are you wanting a solution for x and y?

yes.

The two most common methods of solving something like this is the "substitution method" or the "elimination" method, which method you prefer?

whichever would be easier, but usually substitution.

I think the elimination method is easier, but substitution works ok too. What do you want to substitute the x or y?

ok then I'd rather do elimination. (:

in that case, distribute a 2 through 5x+4y=6. distribute a 5 to -2x-3y=-1

OK, multiply the first equation (all terms by 2 and follow that by multiplying the second equation by 5 (all terms) doing so, will get you the following: 10x+8y=12 -10x-15y=-5 Did you get that also?

yes i did

ok. so 2(5x+4y=6) would be 10x+8y=12. and 5(-2x-3y=-1) would be -10x-15y=-5

Ok add the two equations and you will only have y left, you have eliminated the X -7y=7 y=-1 real simple wasn't it?

then line em up. 10x-10x cancels out. 8y-15y is -7y and 12-5 is 7. -7y=7, y=-1

yes! thank you both

Now that you have found y, just plug it in either of the two first equations and solve for x.

so that is 5x=10 and x=2

hope it helps

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