83x + P = 83x + Q <em>subtract 83x from both sides</em>
P = Q
The equation has no solution for P different Q (P ≠ Q).
Answer:
(24,13)
Step-by-step explanation:
24 is Sarah's age.
13 is Mike's age.
System:

I hope this helped!
Well, your ratio given is 18 to 4. so multiply both numbers (18 and 4) by some number and you will have an equivalent ratio.
example: if you had 2 times as many people, then an equivalent ratio would be 18*2 to 4*2 = 36 to 8
Answer: x= 5
Step-by-step explanation: Distribute the -7 into the parentheses, we get 14x+63=133. You then minus 63 on the left side of the equation and on the right side of the equation. You will get 14x=70. You then solve x by dividing 70 by 14 you will get x=5.
Answer:
6
Step-by-step explanation:
Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.
Note: c is the hypotenuse of the triangle.
18 + 18 = c^2
= 36 = c^2
Therefore, c = 6.