Answered

Find accurate and reliable answers to your questions on IDNLearn.com. Our experts are available to provide in-depth and trustworthy answers to any questions you may have.

solve the following system of linear equations by substitution:
8x-y=-13
6x-3y=15

Sagot :

Scazarockinidn
Rearrange 8x-y=-13 to y=8x+13
Substitute this in so:
6x-3(8x+13)=15
6x-24x-39=15
-18x-39=15
-18x=54
x=-3

Substitute x into 1st equation:
Y=(8*-3)+13
Y=-24+13
Y=-11
Lilithidn
[tex]\begin{cases} 8x-y=-13 \\ 6x-3y=15 \end{cases}\\ \\ \begin{cases} -y=-8x-13 \ \ *(-1) \\ 6x-3y=15 \end{cases}\\ \\\begin{cases} y= 8x+13 \\ 6x-3(8x+13)=15 \end{cases} \\ \\\begin{cases} y= 8x+13 \\ 6x-24x-39=15 \end{cases}[/tex]

[tex]\begin{cases} y= 8x+13 \\ 6x-24x =15+39 \end{cases} \\ \\\begin{cases} y= 8x+13 \\ -18x =54 \ \ / :(-18)\end{cases} \\ \\\begin{cases} y= 8*(-3)+13 \\ x = -3 \end{cases} \\ \\\begin{cases} y= -24+13 \\ x = -3 \end{cases} \\ \\ \begin{cases} y= -11 \\ x = -3 \end{cases}[/tex]


Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.