Question

Solve the system of equations using elimination.

2x + y = 9
8x – 2y = 6
Responses
A (9, 2)(9, 2)
B (5, 2)(5, 2)
C (2, 9)(2, 9)
D (2, 5)(2, 5)
E (5, -2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the system of equations using elimination, we will eliminate one variable by multiplying the equations by appropriate coefficients so that the coefficients of one of the variables will cancel out when the two equations are added.

Multiply the first equation by 2 to eliminate the coefficient of x:

2(2x + y) = 2(9)
4x + 2y = 18

Now we can add the two equations together:

(4x + 2y) + (8x - 2y) = 18 + 6
12x = 24

Divide both sides of the equation by 12:

x = 2

Now substitute this value of x into one of the original equations to solve for y:

2(2) + y = 9
4 + y = 9
y = 5

Therefore, the solution to the system of equations is (2, 5).

The correct answer is: D (2, 5)