Solve the system using elimination.
−7x + 15y = 95
7x − 15y = 115
A. (7,935)
B. (935,7)
C. (15,1313)
D. no solution
D. No Solution
Through the use of elimination the positive and negative 7x would cancel each other out and the positive and negative 15y would also cancel out.
You are then left with 0 value so there would be no solution.
To solve the system using elimination, we will add the two equations together to eliminate one variable.
Adding the equations:
(-7x + 15y) + (7x - 15y) = 95 + 115
-7x + 7x + 15y - 15y = 95 + 115
0 = 210
This equation leads to 0 = 210 which is not true. Therefore, there is no solution to the system.
Therefore, the correct answer is:
D. No solution.
To solve the system of equations using elimination, we need to eliminate one of the variables by adding the two equations together.
Let's add the two equations to eliminate the variable "x":
(-7x + 15y) + (7x - 15y) = 95 + 115
-7x + 7x + 15y - 15y = 210
0 = 210
Since we obtained a false statement (0 = 210), this means that the system of equations is inconsistent and has no solution. Therefore, the answer is D.