Question

Solution of x - y = 5 and 2x +2y =14​

Answer 1

✧First you want to find a definition for either

✯{x} or {y }in terms of the other, using the second equation.

$2x - y = 5 \\ 2x = 5 + y \\ y = 5 - 2$

✧Now you can substitute this into the first equation.

$2x + 2y = 14 \\ 2x + 2(2x - 5) = 14 \\ 6x - 10 = 14 \\ 6x = 24 \\ x = 4$

✧With this value, substitute into anything and it should give you

✯[ y ]. Lets use the direct equation for [ y] we found.

$y = 2x - 5 \\ y = 2.4 - 5 \\ y = 3$

✧You can substitute these values into any of the equations and they should work, if they are correct

Answer 2

$taking \\ x - y = 5 \: \: \: \: as \: eq(i) \\ and \: \: \: \: 2x - 2y = 14 \: \: \: \: as \: eq(ii) \\ proceed \: as \: shown \: above$