Answer:
x=20, y=17, and z=6 or (20,17,6)
Explanation:
Hi there!
We're given the system of equations:
2x+z=46
3z=18
2y+z=40
and we need to solve for x, y, and z
first, let's find the value of z, as we have z by itself (no other variables) in 3z=18
divide both sides by z
z=6
the value of z is found :)
now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x
2x+6=46
subtract 6 from both sides
2x=40
divide by 2
x=20
Finally, let's find y
once again, we can substitute z as 6 in the equation 2y+z=40 to find y
2y+6=40
subtract 6 from both sides
2y=34
divide by 2
y=17
so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)
Hope this helps! :)