x + 3y = 5

Question

-X + 6y = 4
Solve the system of equations.
x
A
B
C
E
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x = 1, y = 2
x = 2, y = 1
x = 1, y = 1
x = 0, y = 2
x = 6, y = 1

Answer 1

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

From the first equation, we have x = 5 - 3y.

Substituting this value of x into the second equation, we get - (5 - 3y) + 6y = 4.

Simplifying the equation, we get -5 + 3y + 6y = 4.

Combining like terms, we get 9y - 5 = 4.

Adding 5 to both sides, we get 9y = 9.

Dividing both sides by 9, we get y = 1.

Now, substitute this value of y back into the first equation to find x:

x + 3(1) = 5.

Simplifying the equation, we get x + 3 = 5.

Subtracting 3 from both sides, we get x = 2.

Therefore, the solution to the system of equations is x = 2, y = 1.

So the correct answer is x = 2, y = 1 (Option B).