Which ordered pair is a solution to the system of equations?

Mathematics

1 answer:

iren2701 [21]4 years ago

3 0

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

<u>Step-by-step explanation:</u>

Given equation are not presented in proper format. So, let assume the given system of are as below,

2 x - y = -1

2 x -4 y = 8

Now, subtract the second equation from the first, we get

(2 x - y) -(2 x - 4 y) = -1 -8

3 y = -9

y = -3 (obtained this when divide by 3)

Substituting y = - 3 into the first equation, we get

2 x - (-3) = - 1

2 x = - 1 + 3

x = - 2 (obtained when divide by 2)

Now, the answer is (x, y) = (- 2, - 3)

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Describe how to determine if two lines are parallel, perpendicular or neither. Give an example of a parallel line, a perpendicul

SVETLANKA909090 [29]

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In order to determine if two lines are parallel, perpendicular, or neither, look at their slopes. If the lines have the same slope, they are parallel. If the slopes are opposite reciprocals, then they are perpendicular. If the slopes of the lines are not any of those, then they are neither.

Parallel line: $y = \frac{2}{5} x$

Perpendicular line: $y = -\frac{5}{2} x$

Neither: $y = 3x$

Step-by-step explanation:

In order to determine if two lines are parallel, perpendicular, or neither, look at their slopes. If the slopes of the two lines are the same, then they are parallel. If the slopes of the two lines are opposite reciprocals, then they are perpendicular. If the slopes of the lines are not any of those, then they are neither.

The equation $y = \frac{2}{5} x+7$ is in slope-intercept form. The y is isolated and it's in $y = mx + b$ format. Whenever an equation is in slope-intercept form, the $m$ , or the coefficient of the x-term, represents the slope. So, the slope of the given line is $\frac{2}{5}$ . Therefore, use the rules listed previously to find lines that are parallel and perpendicular.