Answer:
<em>There were 8 correct answers and 2 incorrect answers.</em>
Step-by-step explanation:
The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.
Let's call:
x = Number of correct answers
y = Number of incorrect answers
The resident from a dormitory answered 10 questions last week. This leads to the following condition:
![x + y = 10\qquad\qquad [1]](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2010%5Cqquad%5Cqquad%20%5B1%5D)
Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is
50x - 25y
The contestant earned $350, thus:
50x - 25y = 350
Dividing by 25:
2x - y = 14
Adding this equation with [1]:
x + 2x = 24
Simplifying:
3x = 24
x = 24 / 3
x = 8
From [1]:
y = 10 - x = 10 - 8
y = 2
There were 8 correct answers and 2 incorrect answers.
Given,
The linear pair of the equation is,

Required
The solution of the linear equation.
Taking the equation first as,

Substituting the value of y in second equation then,

Substituting the value of x in first equation then,

Hence, the solution of the system is (1, -10).
Answer:
B in the photo
Step-by-step explanation:
another way to write the problem:
square root is also taking the 1/2 power:

since they are raised to the same power:

1, when you factor you get 6x(x^2-1)+4(x^2-1)=
Answer by JKismyhusbandbae: $76.50
Explanation: Substitute 3 for m and simplify.
Work: (Attached in Picture)