Question

Please help. Solve these equations write step by step if you can

1.
x +3y -z=10
2x+5y+4z=57
3x -y+ 2z=15

2.
x+ y +z= 53
x+2y+3z=105
x+3y+4z=134

3.
2x-3y+z=-2
4x-4y-3 =2
6x+y-4z =6

Thank you so much!

Answer 1

1.
first multiply the first equation by -2
then add the resulting equation to the second equation
this will eliminate the term in x
and give you an equation in y and z

next multiply the first equation by -3
then add to equation 3
this will give you another equation in y and z

now solve these 2 equations in y and z by the elimination method or substitution method

finally plug in the values of y and z into one of the original equation to find x

Answer 2

and you ok with that explanation?

i'll do the first poart for you

x + 3y - z = 10 multiply by -2:-

-2x - 6y + 2z = -20
2x +5y + 4z = 57 add:
-y + 6z = 37

Answer 3

ok?

Answer 4

r u there?

Answer 5

Ok thanks, the steps were just confusing
It is the same for #2?

Answer 6

basically yes
if you multiply the first equation by -1 then add the second equation you will eliminate x