Question

Please answer asap and show work.

Answer 1

The solution is: (6,0)

Step-by-step explanation:

Given equations are:

$x+6y = 6\\y = \frac{1}{3}x-2$

Part A:

The graph is made using the online tool Desmos.

The graph is attached as a picture

Part B: Solution from graph:

On the graph we can see that both lines intersect at (6,0)

So the solution is x=6 and y=0

Part C: Algebraic Verification

$x+6y = 6\ \ \ \ Eqn1\\y = \frac{1}{3}x-2\ \ \ \ Eqn2$

Putting y= 1/3x-2 in equation 1

$x+ 6(\frac{1}{3}x-2) = 6\\x + 2x-12 = 6\\3x -12 = 6$

Adding 12 on both sides

$3x-12+12 = 6+12\\3x = 18$

Dividing both sides by 3

$\frac{3x}{3} = \frac{18}{3}\\x = 6$

Putting x = 6 in equation 2

$y = \frac{1}{3}(6)-2\\y = 2-2\\y = 0$

Hence,

The solution is: (6,0)

Keywords: Graphing, linear equations

Learn more about linear equations at:

• brainly.com/question/10666510
• brainly.com/question/10699220

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