An equation for a line in the xy-plane allows you to find the value of y, given x

Mathematics

2 answers:

Elis [28]3 years ago

7 0

Answer:

The answer is TRUE

Step-by-step explanation:

APEX

lesya692 [45]3 years ago

6 0

This statement is true. A linear equation has two variables, x and y, it is commonly written as an equation y in express in terms of x. The variable y is the dependent variable while x is the independent variable. If you have a value of x and substitute it to the equation, you would be able to find the value of y.

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luda_lava [24]

18. 17.9
19. 21.1
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4 0

3 years ago

Direction: Determine whether the given point is a solution to the given system of linear inequalities.

Ann [662]

Answer:

The given point is a solution to the given system of inequalities.

Step-by-step explanation:

Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of $(3,2)$ are $x=3$ and $y=2$ , respectively.

Plugging these values into the first inequality, $y\leq x+3$ , gives us $2\leq 3+3$ , which simplifies to $2\leq 6$ . This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.

Plugging the coordinates into the second inequality, $y\geq -x+3$ , gives us $2\geq -3+3$ , which simplifies to $2\geq 0$ . This is also a true statement, so the given point satisfies the second inequality as well. Therefore, $\bold(\bold3\bold,\bold2\bold)$ is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!