Answer ! show all the steps.
solve the system of equations using elimination. make sure to show all work and find the value of both x and y

1.

x - 3y = 7

3x + 3y = 9

2.

8x+ 3y = 1

4x + 2y = 0

For the first question and

For the second question

Step-by-step explanation:

Given:

1.

x - 3y = 7

3x + 3y = 9

2.

8x+ 3y = 1

4x + 2y = 0

Elimination method :

In the elimination method we need to make the coefficient of x or the coefficient of y same in both the equation so by adding or subtracting we can eliminate the x term or the y term.

Then substitute that values which you will get on eliminating in any equation you will get the corresponding value.

For the first question, the y coefficient is same hence by adding both the equation we can eliminate 3y term. so on solving we get

Now substitute X equal to 4 in equation x -3y = 7 we get

This way we have x is equal to 4 and y is equal to -1  for question number 1.

For the second question, we will make X coefficient same in the second equation that is multiplying by 2 to the equation 4x + 2y = 0 then we get

Now the coefficient of x term become same now we will subtract the two equations that is 8x + 3y = 1 and 8x + 4y =0 we get

Now substitute y equal to -1 in equation 8x +3y = 1 we get

This way we have x is equal to 0.5 and y is equal to -1  for question number 2.