Question

6x + 3y = 9

2x + 3y = 1

Solve the system of equations.
Responses
A x = 2, y = -1x = 2, y = -1
B x = -1, y = 2x = -1, y = 2
C x = -12
, y = 3x = - 1 2 , y = 3
D x = 3, y = -12
x = 3, y = - 1 2
E x = 1, y = 1

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the system of equations, we can use the method of substitution or elimination.

Method of Substitution:
1. Solve one equation for one variable in terms of the other variable.
6x + 3y = 9
3y = 9 - 6x
y = 3 - 2x

2. Substitute the value of y in the other equation.
2x + 3(3 - 2x) = 1
2x + 9 - 6x = 1
-4x + 9 = 1
-4x = -8
x = 2

3. Substitute the value of x back into one of the original equations to find y.
6x + 3y = 9
6(2) + 3y = 9
12 + 3y = 9
3y = -3
y = -1

Therefore, the solution is x = 2 and y = -1.

The correct response is A) x = 2, y = -1.