Question

Solve this system of equations by using the substitution method. y=2x-5 6x+7=y

Answer 1

`y = 2.x = (1)/(11)`

Explanation:

`\binom{x - 56x + 7 = y}{y = 2}`

_______________________

1. Substitute y = 2 :

`(x - 56x + 7 = 2)`

2. Simplify :

`( - 55x + 7 = 2)`

3. Isolate x for
`( - 55x + 7 = 2) : x = (1)/(11)`

4. The solution of the system of equations are :

`y = 2.x = (1)/(11)`

Answer 2

`x = - 3 \: and \: y = - 11`

Explanation:

L

`since \: y = 2x - 5(equation \: 1) \: \\`

`substitute \: for \: y \: in \: equation \: 2 \: (6x + 7 = y)`

`6x + 7 = y \\ 6x + 7 = 2x - 5 \\ collect \: like \: terms \\ 6x - 2x = - 5 - 7 \\ 4x = - 12 \\ x = ( - 12)/(4) \\ x = - 3`

`substitute \: for \: x in \: equation \: 1`

`y = 2x - 5 \\ y = 2( - 3) - 5 \\ y = - 6 - 5 \\ y = - 11`