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7nadin3 [17]
3 years ago
15

PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma

Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0

Answer:

x=-6,\\y=6

Step-by-step explanation:

Rewrite the system of equations as:

\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}

Subtract the second equation from the first to isolate x:

-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}

Plug in x=-6 into any of the equations above and solve for y:

-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}

Verify that the solution pair (-6, 6) works \checkmark

Therefore, the solution to this system of equations is:

x=-6,\\y=6

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=========================================

Explanation:

The graph extends forever to the left and right. This means any x value can be plugged into the function to get some y value output. The domain is the set of all real numbers in which we write (−∞,∞)  when using interval notation. This is the interval from negative infinity to positive infinity. We exclude both endpoints as we cannot reach infinity.

The smallest y value possible is y = -9 as shown by the vertex point (1, -9) being the lowest point on the parabola. The range is the set of y values such that y \ge -9 so we say [−9,∞) in interval notation. This is the interval from -9 to infinity. The square bracket says to include -9 as part of the interval.

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