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3 years ago

How to solve 3x+y=6 and y=-3 using substation method

Mathematics

1 answer:

mafiozo [28]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

since they give you y this is a very simple problem

simply replace y with -3 and get

3x+(-3)=6

adding a negative number is the same as subtracting a positive number

3x-3=6

add 3 on both sides

3x=9

divide by 3 on both sides

x=3

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3 years ago

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Step-by-step explanation:

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3 years ago

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Nookie1986 [14]

Answer:

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Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

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$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .