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3 years ago

Which is a solution to the system of equations?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

6 0

Choices A, C, D have a y-value that is 5 more than the x-value, so those points are on the line defined by the first equation.

Choice D satisfies the requirement

... y = 2x - 13

... 23 = 2·18 - 13

... 23 = 36 - 13

The appropriate choice is ...

... D (18, 23)

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Solve each system of equations; nonlinear algebra 2<br><br> x2 + x + y - 26 = 0<br> x + y = 1

BigorU [14]

Answer:

(5,-4) and (-5,6)

Step-by-step explanation:

Given:

$\left\{\begin{array}{l}x^2+x+y-26=0\\ \\x+y=1\end{array}\right.$

Solve it. First, express y in terms of x from the second equation:

$y=1-x$

Substitute it into the first equation:

$x^2+x+1-x-26=0\\ \\x^2-25=0\\ \\(x-5)(x+5)=0$

Apply zero product property:

$x-5=0\ \text{or}\ x+5=0$

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$x=5\ \text{or}\ x=-5$

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