Answer:
Option- one is correct.
The given system of equations have one solution that is (7,-21)
Step-by-step explanation:
Given system of equations are


Now to the solution:
To solve the given system of equations using substitution method.
That is substitute equation(1) in equation (2) we get
(here y=-3x)

(adding the like terms)

Therefore x=7
Now substitute x=7 in equation (1) we get



Therefore the solution is (7,-21)
Therefore Option- one is correct.
The given system of equations have one solution that is (7,-21)
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! :)
<u>Restando la cantidad utilizada de el total</u>, tiene-se que 7470 clavos le quedan.
----------------------
- En total, para la construcción, Samuel compró 7,943 clavos.
- De toda esta cantidad, 473 fueron utilizadas.
- La cantidad de clavos que le quedan es la <u>subtracción da cantidad total por la utilizada</u>, o sea, 7943 restado de 473.

Le quedan 7470 clavos.
Un problema similar es dado en brainly.com/question/24554492
Answer:
C because if you make $17 dollars an hour that's 2,080 hours a year, Multiply that and you got C
Answer:
7.47
Step-by-step explanation: 7.71-0.24=7.47 which is how you find how much more the baby weighed than the kitten