Answer:
x = 9, y = 2 is the solution of the given system.
Step-by-step explanation:
Here, the given set of equation is :
2 x - 3 y = 12
x = 4 y + 1
Now, from equation (2) we see that x = 4 y + 1.
Substitute the value of y from (2) in the first equation. we get:
2 x - 3 y = 12 ⇒ 2 (4 y + 1) - 3 y = 12
or, 8 y + 2 - 3 y = 12
or, 5 y = 12- 2 = 10
or, y = 10/ 5 = 2
or, y = 2
Now, x = 4 y + 1 ⇒ x = 4(2) + 1 = 8 + 1 = 9, or x = 9
Hence, x = 9, y = 2 is the solution of the given system.
Answer:
So a bag of chip costs $2.39
Step-by-step explanation:
Let x = cost of a bag of chip
Let y = cost of a box of pretzel
Micheal buys two bags of chips and three boxes of pretzels for $5.13
This means
2x + 3y = 5.13 - - - - - - - - - -1
He then buys another bag of chips and 2 boxes of pretzels for $3.09
This means
x + 2y = 3.09 - - - - - - - - - - - -2
Solving equation 1 and equation 2 simultaneously and using the elimination method,
Multiply equation 1 by 1 and equation 2 by 2
2x + 3y = 5.13
2x + 6y = 6.18
Subtracting,
-3y = -1.05
y = -1.05/-3= $0.35
Put y= 0.35 in equation, x + 2y = 3.09
x + 2(0.35)= 3.09
x + 0.7= 3.09
x = 3.09-0.7 = $ 2.39
So a bag of chip costs $2.39
Answer:
y=0.04
Step-by-step explanation:
