Answer:
x=15
Step-by-step explanation:
Simplifying
3x + (8x + 15) = 180
Reorder the terms:
3x + (15 + 8x) = 180
Remove parenthesis around (15 + 8x)
3x + 15 + 8x = 180
Reorder the terms:
15 + 3x + 8x = 180
Combine like terms: 3x + 8x = 11x
15 + 11x = 180
Solving
15 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 11x = 180 + -15
Combine like terms: 15 + -15 = 0
0 + 11x = 180 + -15
11x = 180 + -15
Combine like terms: 180 + -15 = 165
11x = 165
Divide each side by '11'.
x = 15
Simplifying
x = 15
Answer:
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax=0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax= 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
Step-by-step explanation:
the answer to the question is answer B. and here is the explanation below
let us imagine that the equation ax = b has a solution
now our goal will be to show that the solution of ax =b when ax = 0 has only trivial solution.
ax = 0 is homogenous
if this equation was consistent for b, we define
ax = b to be a set of vector that has the form
w = m + gh(h is a subscript)
gh is a solution of ax = 0
from what we have above, ax=b is in the form ofw= m+gh
with
m = solution of ax=b
gh = soulution of ax=0
ax = 0 has only trivial solution
gh = 0
with gh = 0
ax=b is w=m
so ax = b is unique.
Answer:
2y + 367
Step-by-step explanation:
8(2y - 1) - 14y + 375
16y - 8 - 14y + 375
2y + 367
Answer: -3
Step-by-step explanation:
They are going by three down and up