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Answer:
350 RS
Step-by-step explanation:
18 x 225 = 4050 RS (this is how much he should pay)
4500-4050 = 350 RS (this is the change he will get)
Y = -7x - 2
Use the two points given to find the slope (m)
m = (y2 - y1) / (x2 - x1)
m = ( 12-5 ) / (-2 - (-1))
m = -7
Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in.
Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'.
y = -7x + b
5 = -7(-1) + b
b = -2
Final eqn: y = -7x - 2
The answer to this question is false because it cannot still be both negative after you reflect over two positives.
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
