Answer:
x = 2
y = 1
z = 3
Step-by-step explanation:
Okay, we know y=z-x.
Let's plug in that y-value into the first equation: x + 2 (z - x) -z =1
Simplify that down to x +2z -2x -z = 1
Equation 1 becomes -x + z = 1
Let's plug it into equation 3 and solve to get: 2x - (z - x) +3z = 12
Equation 3 becomes 3x + 2z = 12
Now let's use system of equations for those two equations we just found
3x + 2z = 12
-2x + 2z = 2 ------> multiplied this by 2 to simplify
subtract, and you 5x = 10, x = 2
Use x = 2 and solve for the other variables using the same method (try this on your own!) to get y = 1 and z = 3
Answer: 8500
Step-by-step explanation:
Answer:
This can be found by using the equation:
(160-x)/2 = 51
Step-by-step explanation:
Answer:
The answer to your question is she bought 79 large cups and 76 small cups.
Step-by-step explanation:
Data
small cups = s = $1.25
large cups = l = $2.15
total number of cups = 155
total money = $265
Process
1.- Write 2 equations to solve the problem
s + l = 155
1.25s + 2.15l = 265
2.- Solve by substitution
s = 155 - l
1.25(155 - l) + 2.15l = 265
193.75 - 1.25l + 2.15l = 265
-1.25l + 2.15l = 265 - 193.75
0.9l = 71.25
l = 71.25/0.9
l = 79
s = 155 - 79
s = 76