Step-by-step explanation:
a.
2(3x) - 5x = 4
6x - 5x = 4
x = 4
B. -5(x-4)+8x=29
-5x+20+8x=29
3x+20=29
3x=9
x=3
C. 2y=18+2(3-y)
2y=18+6-2y
2y=24-2y
4y=24
y=6
D. c = -b - 11
3c + 6 = 6b
3( -b - 11) +6 = 6b
-3b-33+6=6b
-3b-27=6b
-27=9b
3=b
Answer:
97x
Step-by-step explanation:
97+x=97x
L-5l+l9l=
5+9=14
and done :P
First, assign a variable to each unknown value.
Let:
x = cost of the pepperoni pizza
y = cost of the plain pizza
Next, set up equations based on the word problem. We then have the following equations:
(1) 3x + 2y = 58.50
(2) 2x + 4y = 67
Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".
To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.
-2[3x + 2y = 58.50]
-6x -4y = -117
Then add this to equation (2):
-6x -4y = -117
2x + 4y = 67
-------------------
-4x = -50
x = -50/-4 = 12.5
To solve for y, we use equation (2) and substitute the value of x which has been solved already.
2(12.5) + 4y = 67
y = 10.5
To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.
