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gavmur [86]
3 years ago
8

Jill wants to solve the following system using the elimination method:

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

To use the elimination method, we need the variable we want to eliminate to have the same coefficient number in both equations, but with the opposite sign. Thus, when adding the equations that variable will be eliminated.

The variable x in the first equation is the following:

x

and the x in the second equation is:

3x

So we must multiply the first equation by -3, so it becomes:

-3y = -3x + 8

and we can see that now, the x's in both equation have the same coefficient number but a different sign (one positive and one negative) which is what we need to apply the elimination method.

asambeis [7]3 years ago
5 0
-3 as in the first equation x = 1x so multiply it by -3 you’ll get -3x.
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<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

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<h3>Finding the equation of the line:</h3>

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<u>Substitute the values in the point slope form:</u>

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∴ Any number multiplied by 0 is 0.

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\implies \text{Equation of line:} \ y   = 2

Thus, the equation of the line is y = 2.

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