Respuesta :

Nayefx

Answer:

[tex](x,y) = ( 5 , - 7)[/tex]

Step-by-step explanation:

we would like to solve the following system of linear equation by substitution:

[tex] \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}[/tex]

notice that, we're already given the value of y therefore simply substitute it to the II equation

[tex]8x + 8(x - 12) = - 16[/tex]

distribute:

[tex]8x + 8x - 96= - 16[/tex]

simplify addition:

[tex]16 x- 96= - 16[/tex]

isolate -96 to left hand side and change its sign:

[tex]16 x= - 16 + 96[/tex]

simplify addition:

[tex]16 x= 80[/tex]

divide both sides by 16 and that yields:

[tex] \boxed{x= 5}[/tex]

now substitute the got value of x to the first equation:

[tex]y = 5- 12[/tex]

simplify subtraction:

[tex]y = - 7[/tex]

hence,

the solution is (x,y)=(5,-7)

LearningTree

G I V E N :

Solve by substitution :

y = x - 12

8x + 8y = -16

S O L U T I O N :

y = x - 12 ------- eq(1)

8x + 8y = -16 ------- eq(2)

Finding x ⤵

Putting y = x - 12 in eq(2) we get

  • 8x + 8(x - 12) = -16

  • 8x + 8x - 96 = -16

  • 16x = 96 - 16

  • 16x = 80

  • x = 80/16

  • x = 5

Finding y ⤵

Putting x = 5 in eq(1) we get

  • y = x - 12

  • y = 5 - 12

  • y = -7

Hence, x is 5 and y is -7

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