The solution of the equation is x= 3 and y = 2
Step-by-step explanation:
Given,
-3x-4y = -17 and
-x-3y = -9
The system of equation can be rewritten as
3x+4y = 17 ------eq 1 and
x+3y = 9 ------ eq 2
To solve for x and y
Multiplying eq 2 by 3 we get,
3x + 9y = 27
or, 3x = 27-9y
Putting this value of x into eq 1 we get,
27-9y +4y = 17
or, -5y = 17-27
or, -5y = -10
or, y = 2
Now put y=2 in eq 2 we get,
x = 9 - 3(2)
= 3
Hence the solution is x = 3 and y = 2
Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
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add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
10×sine of 60 degrees=8.66 which is the same as B. you can check by finding the square root of 3 and then multiplying that by 5.
