10) Choose the solution for each linear system.
1 answer:
Answer:
<h2>10. C. (2, -1)</h2><h2>11. B. (-2, -4)</h2>Step-by-step explanation:
10.
The y values cancel out if you add the equations
5x = 10
x = 2
plug in x
2 - 2y = 4
-2y = 2
y=-1
Answer: C. (2, -1)
11.
In order to get terms to cancel out, multiply the top by 3 and bottom by 2
The y values cancel out if you add the equations
10x = -20
x = -2
plug in x
6(-2) - 2y = -4
-12 - 2y = -4
-2y = 8
y = -4
Answer: B. (-2, -4)
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Y = total amount of money spent
x = cost of one drink
So our expression is:
4x + 12.75
4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.
The problem also asks us to find the total price, so we write an equation:
We insert what x is which in this case is $3
Order of Operations tells us to multiply first:
Now add your values:
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.
Let's check our problem just in case:
Since we now know what y is equal to, we can plug that into our original equation and check just to verify
We should subtract 12. on both sides of the equation because of inverse operations:
We are left with:
We divide:
Our result is:
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.
x = cost of one drink
So our expression is:
4x + 12.75
4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.
The problem also asks us to find the total price, so we write an equation:
We insert what x is which in this case is $3
Order of Operations tells us to multiply first:
Now add your values:
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.
Let's check our problem just in case:
Since we now know what y is equal to, we can plug that into our original equation and check just to verify
We should subtract 12. on both sides of the equation because of inverse operations:
We are left with:
We divide:
Our result is:
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.