X= cost per pizza
y= cost per soda
1ST VISIT TO RESTAURANT
x + 2y= $15.95
2ND VISIT TO RESTAURANT
3x + 5y= $45.90
STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.
-3(x + 2y)= -3(15.95)
multiply -3 by each term
(-3 * x) + (-3 * 2y)= (-3 * 15.95)
-3x - 6y= -47.85
STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.
3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y
-y= -1.95
divide both sides by -1
y= $1.95 per soda
STEP 3
substitute y value in either original equation to solve for x
x + 2y= $15.95
x + (2 * 1.95)= 15.95
multiple in parentheses
x + 3.90= 15.95
subtract 3.90 from both sides
x= $12.05 per pizza
CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90
ANSWER: Each pizza costs $12.05 and each soda costs $1.95.
Hope this helps! :)
The answer is 74! But when u divide 2,665 by 36= 74. To check your answer it's 2,664 (36x74=2,664) That's means there has to been a remainder. Sorry not telling u the remainder
Step-by-step explanation:
a:b=7:4 b:c=2:5
a:c = 7:5
Welp looks like I won't be seeing that cat, darn it
Answer:
tex]a^2 - 4b \neq 2[/tex]
Step-by-step explanation:
We are given that a and b are integers, then we need to show that 
Let 
If a is an even integer, then it can be written as 
, then,
RHS is a fraction but LHS can never be a fraction, thus it is impossible.
If a is an odd integer, then it can be written as 
, then,
RHS is a fraction but LHS can never be a fraction, thus it is impossible.
Thus, our assumption was wrong and .
