Classify the following system of equations.

8x - 12y = -9

18x + 27y = 21

The following system of equations 8x - 12y = -9   and 18x + 27y = 21 are intersecting lines

Solution:

Given, system of equations are 8x – 12y = - 9 ⇒ (1)

And 18x + 27y = 21 ⇒ 6x + 9y = 7 ⇒ (2)

We have to classify the above given system of equations  

For the we have to find the solution for the given system of equations

So, now, multiply (1) with 9 and (2) with 12, such that both equations will have same coefficients for y terms, such that, it will be easier to find solution while calculations by cancelling.

72x – 108y = - 81

72x + 108y = 84

(+) ---------------------------

144x + 0y = 3

144x = 3

Substitute "x" value in (2)

So, given system of equations has 1 solution which means that, they are intersecting lines.

Hence, the given system of equations are classified as intersecting lines

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

i need points

step-by-step explanation:

sorry bubs