Answer:
The solutions to the system of the equations by the elimination method will be:

Step-by-step explanation:
Given the system of the equations



solving the system of the equations by the elimination method













Rearranging the equations

solve
for z:


solve
for y:





solve
for x:




Therefore, the solutions to the system of the equations by the elimination method will be:

Answer:
a)
Step-by-step explanation:
She forgot to multiply 14 with -13
41+0.10x = 31+0.15x
10 +0.10x=0.15x
10=0.05x
x=10/.05
x= 200 text messages
check 200*0.10 = 20 +41 =61
200*0.15 = 30+31 = 61
they equal each other so number of texts is 200
Answer:
4sqrt(2) cm
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 4^2 = c^2
32 = c^2
sqrt(32) = c
c = 4sqrt(2)