Question

5x-4y=19

x+2=8
Solve simultaneous equation

Answer 1

x = 5, y = 3/2.

Explanation:

5x-4y=19

x+2y =8 Multiply this by 2:

2x + 4y = 16 Adding this to first equation 1:

7x = 35

x = 5

So

5 + 2y = 8

2y = 3

y = 3/2.

Answer 2

x = 6, y = 5

Explanation:

5x - 4y = 19 -------> equation 1

x + 2 = 8 --------> equation 2

Step 1 : Subtract 2 on both sides in equation 2.

x + 2 - 2 = 8 - 2

x = 6

Step 2 : Substitute the value of x is equation 1.

5 ( 6 ) - 4y = 19

( 5 * 6 ) - 4y = 19

30 - 4y = 10

Step 3 : Subtract 30 on both sides.

30 - 30 - 4y = 10 - 30

- 4y = - 20

Step 4 : Multiply - 1 on both sides.

- 1 * - 4y = - 1 * - 20

4y = 20

Step 5 : Divide 4 on both sides.

4y / 4 = 20 / 4

y = 5

Hence,

x = 6

y = 5