Answer:
Answer D is correct
Step-by-step explanation:
1: (1, 1.25) (2, 2)
So you have your first problem, your first number is x1 while your next number in the first set of parenthesis is y1. Your next set of parenthesis will be x2 and y2 like this:
x1 y1 x2 y2
(1, 1.25) (2, 2)
Then you set up a equation like this!
x2-x1
-------Divided
y2-y1
so we now plug in the numbers and get this
2-1.25 = 0.75
--------- ---- or 0.75 BUT not 1.25 like we need!
2-1 = 1
<u>Answer:</u>
There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.
<u>Solution:</u>
Given, equation is -3x + 10 = 4x – 20.
We have to solve the given equation in two methods, now let us see the first method.
<u><em>1st method ⇒ by subtracting 4x from both sides.</em></u>
Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30
Then, x = 
Now, let us use the 2nd method.
<em><u>2nd method ⇒ by adding 3x on both sides.</u></em>
Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x
⇒ 10 + 20 = 4x + 3x
⇒ 7x = 30
⇒ x = 
Hence, the value of x after solving in both methods is
= 4.2857.
We can model this situation as a system of linear equation, where n is the number of nickels and q is the number of quarters.

Solving the system of equations, there are 67 nickels and 19 quarters.