Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

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

$6x + 7 = y \\ 6x + 7 = 2x - 5 \\ collect \: like \: terms \\ 6x - 2x = - 5 - 7 \\ 4x = - 12 \\ x = \frac{ - 12}{4} \\ x = - 3$

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

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

Answer 2

Answer:

$y = 2.x = \frac{1}{11}$

Step-by-step 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 $( - 55x + 7 = 2) : x = \frac{1}{11}$

4. The solution of the system of equations are :

$y = 2.x = \frac{1}{11}$