Question

**WILL MEDAL**
Plzz Check My Answer!!!????
What is the solution to the system of equations represented by the two equations?

y=-2x+7
y=1/3x

( 3,2 )
^^^Am I right?

Answer 1

Incorrect. You should test any potential solutions in both equations


y=-2x+7

2=-2(3)+7 ... plug in (x,y) = (3,2)

2 = -6+7

2 = 1 ... this is false


so because (3,2) doesn't work for y=-2x+7, it doesn't work for the whole system

Answer 2

I used this>> https://www.desmos.com/calculator and they intersect at (3,1)

Answer 3

y=-2x+7

1=-2(3)+7 ... plug in (x,y) = (3,1)

1 = -6+7

1 = 1 ... this is true

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y = (1/3)x

1 = (1/3)*3 ... plug in (x,y) = (3,1)

1 = 1 ... this is true

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So (3,1) is indeed the solution