3x - y = 4

x + 2y = 6

Solve the system of equations.
Responses
A (-2,-2)(-2,-2)
B (2,-2)(2,-2)
C (2.5,1.75)(2.5,1.75)
D (2.5,4.75)(2.5,4.75)
E (2,2)

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

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

Using the method of substitution, we can solve for one variable in one equation and substitute it into the other equation.

From the first equation:
3x - y = 4
y = 3x - 4

Substitute this value of y into the second equation:
x + 2(3x - 4) = 6
x + 6x - 8 = 6
7x = 14
x = 2

Substitute the value of x into the first equation:
3(2) - y = 4
6 - y = 4
-y = -2
y = 2

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

The correct answer is E. (2, 2).

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