jarebear
Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

System of Equations

y=x-5
3x+y=7

Solve?

Sagot :

Frankyg44
Y=x-5
-y=3x-7
Add them together
0=4x-12
12=4x
X=3
Y=-2
TSO
[tex]\sf{y=x-5}[/tex]
[tex]\sf{3x+y=7}[/tex]

Lets solve this by substitution.

Lets plug in y=x-5 into 3x+y=7

So:

[tex]\sf{y=x-5}[/tex]
[tex]\sf{3x+y=7}[/tex]

Plugging it in:

[tex]\sf{3x+(x-5)=7}[/tex]

Solve for x by simplifying that:

[tex]\sf{3x+x-5=7}[/tex]

[tex]\sf{4x-5=7}[/tex]

Add 5 on both sides

[tex]\sf{4x=12}[/tex]

Divide by 4 on both sides

[tex]\sf{x=3}[/tex]

Now simply plug x=3 back into any equation and solve for y

So:
[tex]\sf{y=x-5}[/tex]

[tex]\sf{y=3-5}[/tex]

Simplify that:

[tex]\sf{y=-2}[/tex]

So we are left with our final answer which is
[tex]\boxed{\bf{(3,-2)}}[/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.