Question

Substitute this simultaneous linear equation

`x - 4y = - 6 \\ 2x + 3y = 10`
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Answer 1

`x - 4y = - 6 \: ......(1) \\ \\ 2x + 3y = 10 \: .......(2)`

from equation (1)

`x - 4y = - 6 \\ \\ 4y = x + 6 \\ \\ y = (x + 6)/(4)`

Substitute " y " in equation (2)

`2x + 3y = 10 \\ \\ 2x + 3( (x + 6)/(4) ) = 10 \\ \\ 2x +( (3x + 18)/(4) ) = 10 \\ \\ \\ (8x + 3x + 18)/(4) = 10 \\ \\ \\ 8x + 3x + 18 = 10 * 4 \\ \\ 11x + 18 = 40 \\ \\ 11x = 40 - 18 \\ 11x = 22 \\ \\ x = (22)/(11) \\ \\ x = 2`

`y = (x + 6)/(4) \\ \\ y = (2 + 6)/(4) \\ \\ y = (8)/(4) \\ \\ y = 2`