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ollegr [7]
3 years ago
15

6x – 3y + 2z = -30 6x + 5y=-4 -6z= -18

Mathematics
2 answers:
Assoli18 [71]3 years ago
7 0

Answer:

x = 251/765, y = 698/85, z = 7/3

wel3 years ago
4 0

Answer:

Our solution set is (x,y,z) = (-4,4,3)

Step-by-step explanation:

Basically you take a look at the first equation it has the variable z, to find z we would have to solve for the 3rd equation which is:

-6z=-18

we divide both sides by -6 to isolate z ( that is -6z/-6 which cancel out 6 and we are left with z and on the other side of equal sign we divide the -18 by -6 and we get 3 as our answer.

Now that we know z=3 We plug it's value for equation 2 i.e. 6x-3y+2z=-30

which becomes 6x+5y+ (2*3)=-30

                            6x+5y+6=36      ( now we have to combine 6 with the other number -30. so we are left with variable one side and number on the other. to do this we subtract 6 from -36 and you get:

6x+5y=-36

Now we solve for equation 2 to get the value of y:

6x+5y=-4

you move 6x to other side it becomes negative

5y=-4-6x

now you need to isolate y to do this you divide 5 from the equations on the right side.

so it will look like:

y= -4/5-6x/5

also can write it as y=-6x/5-4/5

Now we now the value of y so now we can plug it in the 1st equation i.e.

6x - 3•(-6x/5-4/5) = -36 ( you use distributive property here to distribute it)

48x/5 = -192/5

48x = -192     (divide 48 from -192 and you get -4)

x = - 4  

Now we now that

x= -4

y=-6x/5-4/5

z=3

Now we are going to use  x value to solve for y

y=(-6/5)(-4)-4/5

and we get y=4

Our solution set is (x,y,z) = (-4,4,3)

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