Lismarie6
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Substitution method

1) 3x + y = 7
4x + 2y = 16

2) 2x + 2y = 4
X - 2y = 0

Sagot :

1. y=7-3x
4x+2(7-3x)=16
4x+14-6x=16
-2x=2
x=-1
-3+y=7
y=10
(-1,10)

2. x=2y
2(2y)+2y=4
4y+2y=4
6y=4
y=2/3
x-2(2/3)=0
x-4/3=0
x=4/3
(4/3,2/3)
[tex]1.)\\ \\\begin{cases}3x + y = 7 /*(-2)\\ 4x + 2y = 16 \end{cases} \\ \\\begin{cases}-6x-2y =-14 \\ 4x + 2y = 16 \end{cases}\\-------\\-2x=2/:(-2)\\ \\x=-2[/tex]

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



[tex]2.)\\ \\\begin{cases}2x + 2y = 4 \\x - 2y = 0 \end{cases} \\-------- \\ 3x=4/:3\\ \\x=\frac{4}{3}\\ \\2*\frac{4}{3}+ 2y = 4 \\ \\[/tex]

[tex]2y=\frac{12}{3}-\frac{8}{3}\\ \\2y=\frac{4}{3}/*(\frac{1}{2})\\ \\y=\frac{2}{3}\\ \\\begin{cases}x=\frac{4}{3} \\y=\frac{2}{3}\end{cases}[/tex]


Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.