-2x - 2y = 4
x + 5y = 10
It looks like the method it would be easiest to use to solve this system is substitution. To use substitution, let us isolate x in the second equation:
x + 5y = 10
x = -5y + 10
---
-2x - 2y = 4
-2(-5y + 10) - 2y = 4
10y - 20 - 2y = 4
8y - 20 = 4
8y = 24
y = 3
Now we can substitute back into the second equation to find x:
x + 5y = 10
x + 5(3) = 10
x + 15 = 10
x = -5
Finally, to check our work:
-2(-5) - 2(3) = 4 --> 10 - 6 = 4 <--True
-5 + 5(3) = 10 --> -5 + 15 = 10 <--True
Answer:
y = 3
x = -5
Answer:
Undefined when x = -9
Step-by-step explanation:
(2x-15)/ (x+9)
This would be undefined when the denominator is 0
x+9 =0
x = -9
Answer: (x - 2)² + (y - 14)² = 1
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of the circle formula.
Circle formula: (x - h)² + (y - k)² = r²
Center = (h, k)
Radius = r
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
Center = (2, 14)
Radius = 1
<em>Given formula</em>
(x - h)² + (y - k)² = r²
<em>Substitute the value into the formula</em>
(x - 2)² + (y - 14)² = (1)²
<em>Simplify</em>
(x - 2)² + (y - 14)² = 1
Hope this helps!! :)
Please let me know if you have any questions
Answer: 7
pounds for 3.15 is a better option
Step-by-step explanation:
Here in this question, we want to know which of the two options is a better option for buying crickets.
To know the better option, we shall be needing the unit price in whatever system to be used;
7 pounds of crickets for 3.15;
so the unit price here will be 3.15/7 = 0.45 per pound
For the second system, we have 3 pounds for 1.47 so the unit price will be 1.47/3 = 0.49 per pound
As we can see, the first option commands a cheaper price per unit, so it is the better option to buy
Answer:
2/10 + 7/10
9/10
Step-by-step explanation:
I did the test.