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PilotLPTM [1.2K]
3 years ago
6

Choose the correct graph of the given system of equations. y − 2x = −1 x + 3y = 4

Mathematics
2 answers:
dusya [7]3 years ago
6 0

<u>Answer-</u>

The 2nd attachment contains the correct plot for the given equation.

<u>Solution-</u>

We can predict which graph corresponds to the given system, by either plotting the equations or by calculating the solution to the system and then comparing with the given options.

Solving the equation,

y-2x=-1 \ and \ x+3y = 4

we can get the solution.

x+3y = 4

\Rightarrow x=4-3y

Putting it in the first equation,

y-2(4-3y)=-1

\Rightarrow y-8+6y=-1

\Rightarrow 7y=7

\Rightarrow y=1

Then putting the value of y=1, in the second equation,

\Rightarrow x=4-3(1)=1

\therefore \ (1, 1) \ is \ the \ only \ solution


Slav-nsk [51]3 years ago
3 0
I believe it'd the one in the middle because if you plug in the values (1,1) both equations are true.
Plug x=1 and y=1 in equations:
LHS = 1 - 2*1 = 1-2 = -1 = RHS
LHS = 1 + 3*1 = 4 = RHS 
So it's the graph in the middle.
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Whitepunk [10]

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8 0
3 years ago
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Question 6 of 10
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2 years ago
Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed
zalisa [80]

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AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.

But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
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