Answer:
x=20, y=17, and z=6 or (20,17,6)
Step-by-step 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! :)
Answer:
So the slope in this case is m = -2. Using point (0, 7) and m =-2 with point-slope we have y - 7 = -2(x-0) => y = -2x +7. Then we realize (0,7) actually is the y-intercept. We could have gone directly to y = -2x + 7. If we use (3,1) and m = -2 we get y-1=-2(x-3) => y -1 = -2x+6 => y = -2x+7. Another way to find y-intercept is to use y = mx +b directly. If we use the point (3,1) that means when x=3, y = 1. So 1=-2(3) + b => 1=-6+b => b = 7. So, y = -2x+7. Same result in all cases. I like to use point-slope. Others prefer to use y = mx+b, substituting for x, y, and m to solve for b.
Step-by-step explanation:
Answer:
1. 8
2. -1/2
i dont know how to do the other problems, but i did know how to solve the 1st 2 questions. hope it helped :)
Step-by-step explanation:
Answer:
No lo se
Step-by-step explanation: