One week, Huang ordered 1 pizza and 2 sodas for $12. The next week, he ordered 3 pizzas and 4 sodas from the same restaurant for $30. Write and graph a system of equations to determine the cost of each pizza and the cost of each soda from this restaurant. Let x = the cost of a pizza Let y = the cost of a soda A pizza costs $8 and a soda costs $4. A pizza costs $6 and a soda costs $3. Individual costs cannot be determined. There is no solution. There are many possible costs for each. There are infinitely many solutions.
@doc.brown
i think b
1 pizza plus 2 sodas is $12 3 pizzas plus 4 sodas is $30 Let x = the cost of a pizza Let y = the cost of a soda
so would it be B
\[1x+2y=12\]\[3x+4y=30\]
by your calculations i would say yes because pizzas= 6 and sodas= 3 when add i pizza and two sodas you get 12
\[1x+2y=12\]\[1x=12-2y\] Does that seem reasonable? 1 pizza is $12 minus the cost of 2 sodas.
? now i'm confused
Does this makes logical sense?\[1x+2y=12\]
yes
If I subtract the cost of 2 sodas from both sides i get\[1x+2y=12\]\[1x+2y-2y=12-2y\]2y-2y is 0 so\[1x=12-2y\]
sorry i had to put my pet away
That's what she said.
ok
ha ha you got me
A pizza costs $6 and a soda costs $3
thanks
np:)anytime
You know one pizza is 12-2y, so now 3 pizzas are 3(12-2y) I'll stick it in your second equation.\[3x+4y=30\]\[3(12-2y)+4y=30\]\[36-6y+4y=30\]\[36-30=6y-4y\]\[2y=6\]\[y=3\]
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