Final answer:
The method used in a calculator for solving systems of equations through addition is the A) Elimination method.
Step-by-step explanation:
In a calculator, the method used for solving systems of equations through addition is the Elimination method.
The Elimination method involves adding or subtracting the equations in order to eliminate one variable and solve for the other. This is done by multiplying one or both equations by a suitable constant or using the distributive property to create opposite coefficients for one variable. Once one variable is eliminated, the resulting equation can be solved to find the value of the remaining variable.
For example, consider the system of equations:
2x + 3y = 7
4x - 2y = 10
We can multiply the second equation by 2 to create opposite coefficients for y:
2(4x - 2y) = 2(10)
8x - 4y = 20
Now, we can add the modified second equation to the first equation to eliminate y:
2x + 3y + (8x - 4y) = 7 + 20
10x = 27
From here, we can solve for x, and then substitute the value of x back into one of the original equations to find the value of y.
Therefore, the correct option is A) Elimination method.