Answer:
c = 50
Step-by-step explanation:
We can set up an equation using the vertical angles theorem.
97 = 2c-3
100 = 2c
c = 50
You would write the equation out as x=35x+500
You substitute x for 7 so it’s x= 35(7)+500
So the answer will be 745 dollars
Answer:
<em>Answer: a = - 12</em>
Step-by-step explanation:
We have here two equations, one 18x + 12y = 36, the other ax - 8y = - 24;
Now if we were to consider making these two equations have a common y co - efficient, we would multiply the top equation by 2, the bottom consecutively by - 3. This would make a standard 24y ;
2 * ( 18x + 12y = 36 ), ⇒ 36x + 24y = 72
+ - 3 * ( ax - 8y = - 24 ) + - 3ax + 24y = 72
As you can see, all terms are equivalent, besides that of the co - efficient of x. Knowing that, it would be ax must be multiplied by - 3 to receive 36x, as the bottom equation is multiplied by - 3, where all terms are equivalent to the top terms;
- 3 * ax ⇒ 36x, - 3 * - 12x = 36x,
<em>Answer: a = - 12</em>
So,
Let's translate this into mathematical form.
x - y = 9
x + 2y = 27
Elimination by Addition
Divide both sides of the second equation by 2

Add the two equations together

Multiply both sides by


Substitute
15 - y = 9
Subtract 15 from both sides
-y = -6
y = 6
Substitute
15 - 6 = 9
9 = 9 This checks.
15 + 2(6) = 27
Distribute
15 + 12 = 27
27 = 27 This also checks.
S = {(15,6)}