Drenderos2727idn
Answered

Connect with experts and get insightful answers on IDNLearn.com. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

i neeed to solve this equation with elimination

I Neeed To Solve This Equation With Elimination class=

Sagot :

Absor201idn

Answer:

The solution to the system of equations be:

  • x = 3
  • y = 9

Step-by-step explanation:

Given the system of equations

x + y = 12

-x + 2y = 15

Let us solve the system of equations by elimination

[tex]\begin{bmatrix}x+y=12\\ -x+2y=15\end{bmatrix}[/tex]

adding the equations

[tex]-x+2y=15[/tex]

[tex]+[/tex]

[tex]\underline{x+y=12}[/tex]

[tex]3y=27[/tex]

solve 3y = 27 for y

[tex]3y=27[/tex]

divide both sides by 3

[tex]\frac{3y}{3}=\frac{27}{3}[/tex]

Simplify

[tex]y=9[/tex]

For x+y=12 plug in y = 9

[tex]x+9=12[/tex]

Subtract 9 from both sides

[tex]x+9-9=12-9[/tex]

Simplify

[tex]x=3[/tex]

Therefore, the solution to the system of equations be:

  • x = 3
  • y = 9
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.