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I need help with number 2 to make sure I’m doing it correctly

I Need Help With Number 2 To Make Sure Im Doing It Correctly class=

Sagot :

Question 2.

Given the system of equations:

• -x + y = 1

,

• x + y = 11

Let's solve the system by elimination method using addition and subtraction.

To solve the system, add both equations to eliminate the x variable.

-x + y = 1

+ x + y = 11

__________

2y = 12

Divide both sides of the equation by 2:

[tex]\begin{gathered} \frac{2y}{2}=\frac{12}{2} \\ \\ y=6 \end{gathered}[/tex]

Now, substitute 6 for y in either of the equations:

Let's take the second equation

[tex]\begin{gathered} x+y=11 \\ \\ x+6=11 \\ \\ \text{Subtract 6 from both sides:} \\ x+6-6=11-6 \\ \\ x=5 \end{gathered}[/tex]

Therefore, we have the solution:

x = 5, y = 6

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