what is 2x -8y =5   -6x + 24y =15

2 Answers

baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

What is `2x - 8y = 5`

           `-6x + 24y = 15`

This is a system of 2 equations in which there are multiple ways to solve this problem:  Since both equations are written in the form of 

`ax + by = c` I will use the elimination method to eliminate one variable to solve forthe other.

First, multiply the first equation by 3 to get a = 6, which is opposite to 2nd equation's a value.

`6x - 24y = 15`

add this equation to 2nd equation.

   `6x - 24y = 15`

` <span style="text-decoration: underline; ">(+) -6x + 24y = 15</span> `

This gives us a result of `0 = 30`

Since `0!=30,`

the answer would be: No solution.

aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

`2x-8y=5`

`-6x+24y=15`

If

`a_x+b_1y=c_1`

`a_2x+b_2y=c_2`  is given syste of equation.

`a_1/a_2=b_1/b_2!=c_1/c_2`  the system has no solution.

So

`2/(-6)=-8/24!=5/15`

Thus above system of equatios does not posses solution.

The lines in graph do not intersect (parallel) therefore it has no solution.