Question

Use the elimination method to solve the system of equations? 6x+2y=8 12x+y=22

Answer 1

The solution is: x=2, y=-2

Step-by-step explanation:

Given equations are:

6x+2y=8         Eqn 1

12x+y=22       Eqn 2

Multiplying Eqn 1 by 2

$2(6x+2y)=2(8)\\12x+4y=16$      Eqn 3

Subtracting Equation 2 from eqn 3

$12x+4y-(12x+y)=16-22\\12x+4y-12x-y=-6\\3y=-6\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{-6}{3}\\y=-2$

Putting y=-2 in eqn 2

$12x-2=22\\Adding\ 2\ on\ both\ sides\\12x-2+2=22+2\\12x=24\\Dividing\ both\ sides\ by\ 12\\\frac{12x}{12} = \frac{24}{2}\\x=2$

The solution is: x=2, y=-2

Keywords: Linear equations, Elimination Method

Learn more about elimination method at:

• brainly.com/question/9738996
• brainly.com/question/10015690

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