3 years ago

Name the algebraic property demonstrated in the example below: (1 point) If x = 3 and 3 = y, then x = y.

Mathematics

1 answer:

lubasha [3.4K]3 years ago

5 0

Answer:

Transitive Propertey

Step-by-step explanation:

Because it has "If" in it.

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{ y = - 4x-23-4x-3y=13

sleet_krkn [62]

For this case we have the following system of equations:

$y = -4x-23\\-4x-3y = 13$

We solve by the substitution method:

We substitute the first equation in the second equation:

$-4x-3 (-4x-23) = 13$

We apply distributive property considering that $- * - = +:$

$-4x + 12x + 69 = 13\\8x + 69 = 13$

We subtract 69 from both sides of the equation:

$8x = 13-69\\8x = -56$

We divide by 8 on both sides of the equation:

$x = \frac {-56} {8}\\x = -7$

We look for the value of the variable y:

$y = -4 (-7) -23\\y = 28-23\\y = 5$

Thus, the solution of the system is $(x, y): (-7,5)$

Answer:

$(x, y): (-7,5)$

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