To solve this system of equations by elimination method:
First, let's multiply the second equation by 3: 34x−2y4x - 2y4x−2y = 34 12x - 6y = 12
Now, we have the system of equations: 5x + 6y = 107 12x - 6y = 12
Adding the two equations together, we get: 17x = 119 x = 119 / 17 x = 7
Now, we can substitute the value of x back into one of the original equations to find y. Let's use the first equation: 5777 + 6y = 107 35 + 6y = 107 6y = 72 y = 72 / 6 y = 12
Therefore, the solution to the system of equations is x = 7 and y = 12.
To solve this system of equations by elimination method:
First, let's multiply the second equation by 3:
34x−2y4x - 2y4x−2y = 34
12x - 6y = 12
Now, we have the system of equations:
5x + 6y = 107
12x - 6y = 12
Adding the two equations together, we get:
17x = 119
x = 119 / 17
x = 7
Now, we can substitute the value of x back into one of the original equations to find y. Let's use the first equation:
5777 + 6y = 107
35 + 6y = 107
6y = 72
y = 72 / 6
y = 12
Therefore, the solution to the system of equations is x = 7 and y = 12.