Question

Solve the simultaneous equations 5x - 4y = 10 x + 2y = 9​

Answer 1

Answer: x=4 y=5/2

Explanation:

For y:

1. Isolate x for 5x-4y=10:

x=
`10+4y/5`

2. Substitute x=10+4y/5

`[10+4y/5+2y=9]`

3. Simplify : Apply fraction rule a+b/c =ac+b/c

2y*5+10+4y over 5

multiply 2*5=10

10y+10+4y over 5

simplify

14y+10/5

final: 10+14y/5=9

4. Isolate y from the simplified equation above to get y=5/2

For x:

1. Substitute the y value you just foudn into 10+4y/5

2. Simplify 10+4*5/2 over 5 =4 to get

x=4

(10+4*5/2 =20, then 20/5 is 4)