Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Solve the linear system
1).5x + 4y = 16 
y = -16 

2). 3x + 6y = 15 
-2x + 3y = -3 

3). 7y = -14x + 42 
7y = 14 x + 14 

Sagot :

deathstrike001
1.5x+4y=16
5x+4(-16)=16
5x-64=16
5x=80
x=16

2.3x+6y=15
-2x+3y=-3

Multiply the 2nd equation by 2

3x+6y=15
-4x+6y=-6
7x=9
x=9/7

3x+6y=15
3(9/7)+6y=15
27/7+6y=15
6y=78/7
y=78/42 or 39/21 or 13/7

3.7y = -14x + 42 
7y = 14 x + 14

-14x+42=14x+14
-28x=-28
x=1
Lilith
[tex]1)\\ \\\begin{cases} 5x + 4y = 16 \\ y=-16\end{cases} \\ \\ \begin{cases} 5x + 4*(-16) = 16 \\ y=-16\end{cases} \\ \\ \begin{cases} 5x -64 = 16 \\ y=-16\end{cases}[/tex]

[tex]\begin{cases} 5x = 16 +64\\ y=-16\end{cases} \\ \\ \begin{cases} 5x =80/:5 \ \\ y=-16\end{cases} \\ \\ \begin{cases} 5x = 16 +64\\ y=-16\end{cases} \\ \\ \begin{cases} x =16\\ y=-16\end{cases}[/tex]



[tex]2)\\ \\\begin{cases} 3x+6y=15 \\ -2x + 3y = -3 \end{cases} \\ \\\begin{cases} 3x = 15-6y \ /:3 \\ -2x + 3y = -3 \end{cases} \\ \\ \begin{cases} x = 5-2y \\ -2*(5-2y) + 3y = -3 \end{cases} \\ \\\begin{cases} x = 5-2y \\ -10+4y + 3y = -3 \end{cases} \\ \\[/tex]

[tex]\begin{cases} x = 5-2y \\ 7y = -3+10 \end{cases} \\ \\ \begin{cases} x = 5-2y \\ 7y = 7 \ /:7\end{cases} \\ \\ \begin{cases} x = 5-2 *1 \\ y =1 \end{cases} \\ \\ \begin{cases} x = 3 \\ y = 1 \end{cases} \\ \\[/tex]



[tex]3)\\ \\\begin{cases} 7y = -14x + 42 \\ 7y = 14 x + 14 /:7 \end{cases} \\ \\\begin{cases} 7*(2x+2) = -14x + 42 \\ y = 2 x + 2 \end{cases} \\ \\ \begin{cases} 14x+14 = -14x + 42 \\ y = 2 x + 2\end{cases} \\ \\ \begin{cases} 14x+ 14x = 42 -14 \\ y = 2 x + 2 \end{cases}[/tex]

[tex]\begin{cases} 28x = 28 \ /:28 \\ y = 2 x + 2 \end{cases}\\ \\\begin{cases} x = 1 \\ y = 2 *1+ 2\end{cases}\\ \\\begin{cases} x = 1 \\ y = 4 \end{cases}[/tex]


Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.