Question

A variable needs to be eliminated to solve of equations below
5x + y = 48
3x -y=16

Answer 1

Answer:

x = 8 and y = 8

Step by step solved:

To eliminate the variable y, we can add the two equations together.

(5x + y) + (3x - y) = 48 + 16

Simplifying this, we get:

8x = 64

Dividing both sides by 8, we get:

x = 8

Now that we know the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:

5x + y = 48

5(8) + y = 48

Simplifying this, we get:

40 + y = 48

Subtracting 40 from both sides, we get:

y = 8

Therefore, the solution to the system of equations is x = 8 and y = 8.

Answer 2

To eliminate y, we can add the two equations.

5x + y + 3x - y = 48 + 16

Simplifying the left side, we get:

8x = 64

Dividing both sides by 8, we get:

x = 8

Now we can substitute x = 8 into either of the original equations and solve for y:

5x + y = 48

5(8) + y = 48

40 + y = 48

y = 8

So the solution is (x,y) = (8,8).