Suzette solved a system of three linear equations in three variables using substitution. The steps she used to solve the system are shown below.



3x + 5y + 2z = 3
2x + 3z = 2
x – y = –7



Step 1
x = y – 7
2(y – 7) + 3z = 2
3(y – 7) + 5y + 2z = 3

Step 2
2y + 3z = 16
4y + z = 12

Step 3
2y + 3z = 16
–12y – 3z = –36
Step 4
y = 2
x = (2) – 7
x = –5
2(–5) + 3z = 2
–10 + 3z = 2
3z = 12
z = 4
Therefore:
x = –5, y = 2, z = 4





Did Suzette make a mistake in solving the system of three linear equations in three variables, and if so, in which step did the mistake occur?

The answer is in the image 

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

The answer is in the image 

The answer is in the image 

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.