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3 years ago

What is the solution set to the system of equations

1 answer:

4 0

10x+3y=43
-9x-y=-20
From second equation,
y=-9x+20
Substitute third equation into first equation,
10x+3(-9x+20)=43
10x-27x+60=43
-17x=43-60
-17x=-17
x=1
y= -9+20= 11
Option B

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solve the system of equations below by graphing both equations with a pencil and paper. what is the solution y = x - 1 y = 1/2x

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Step-by-step explanation:

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Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y

aleksklad [387]

Answer:

Option C is correct.

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Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is,

$y-y_{1}=m(x-x_{1})$ ; where m is the slope and is given by:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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

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

⇒ $y=\frac{-2}{3}x+6$

Therefore, the equation for the given point is: $y=\frac{-2}{3}x+6$

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