Question

x + 3y = 7 x - 3y = 1 Solve the system of equations. A) x = 4, y = 1 B) x = 1, y = 4 C) x = - 2 3 , y = 3 D) x = 3, y = - 2 3

Answer 1

To solve the system of equations, we can use the method of elimination. The solution is x = 4 and y = 1.

Step-by-step explanation:

To solve the system of equations, we can use the method of elimination. We add the two equations together to eliminate the y term. Adding the equations, (x + 3y) + (x - 3y) = 7 + 1, we get 2x = 8. Dividing both sides by 2, we find that x = 4.

Substituting the value of x into one of the original equations, we have 4 + 3y = 7. Subtracting 4 from both sides, we get 3y = 3. Dividing both sides by 3, we find that y = 1.

So the solution to the system of equations is x = 4 and y = 1. Therefore, the correct answer is A) x = 4, y = 1.

Answer 2

Option A.

Step-by-step explanation:

The given system of equations is

`x+3y=7` ... (1)

`x-3y=1` ...(2)

We need to solve the system of equations.

On adding equation (1) and (2), we get

`(x+3y)+(x-3y)=7+1`

`2x=8`

Divide both sides by 2.

`x=4`

Substitute x=4 in equation (1).

`(4)+3y=7`

`3y=7-4`

`3y=3`

Divide both sides by 3.

`y=1`

Since x=4 and y=1, therefore the correct option is A.