X + y = 16
5x - 4y = 12

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

x = 76 / 9

y = 68 / 9

Step-by-step explanation:

There are several methods that can be used to solve system but in this situation, it is generally easier to cancel out a variable by adding the system equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

4 ( x + y = 16 )

+ 5x – 4y = 12

4x + 4y = 64

+ 5x – 4y = 12

9x = 76

x = 76 / 9.

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

(76 / 9) + y = 16

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

–76 –76

9y = 68

y = 68 / 9