Question

solve the linear system using the addition-elimination method
3x-5y=-2
-2x+4y=1

Answer 1

multiply the first equation by 2 and second one by 3
adding these 2 new equations will eliminate x
then solve for y

finally find x by plugging value of y into first equation

Answer 2

i cant figure out the values, every time i try i get different numbers that dont work in the equation

Answer 3

ok ill start it for you
6x - 10y = -4 thats first equation x 2 - remember to multiply each term by 2
now second by 3:-
-6x + 12y = 3

adding 2y = - 1

Answer 4

do u follow that?

Answer 5

yeah i get that its just when i try to find x and plug both numbers back to check if its right it doesnt work out

Answer 6

y = 1/2 right?

Answer 7

i got y= -1/2

Answer 8

and x = 1 1/2 which doesnt work in the equation

Answer 9

good - u spotted my deliberate mistake
now you plug y = -1/2 into

3x - 5y = -2

Answer 10

3x - 5(-1/2) = -2
3x = -2 - 5/ 2

right?

Answer 11

its 3x = -4 1/2
and x = (-4 1/2)/3

Answer 12

3x = -9/2
x = -9/2 * 1/3 = -9/6 = -3/2

Answer 13

yea

Answer 14

-3/2 = -1 1/2

Answer 15

right, but when i plug that in it doesnt work. it comes to -3.5 + 2.5 = -2

Answer 16

oh i just realized what i did wrong. thank for your help :-)