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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
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