Which of the following best describes the solution to the system of equations below?
4x + 5y = 7
8x + 10y = 14
a. the system of equations has infinitely many solutions.
b. the system of equations has exactly one solution where x = 7/4 and y = 0
c. the system of equations has no solution.
d. the system of equations has exactly one solution where x = 1 and y = 6/5

OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

Where m is the slope and b the y-intercept.

Solve for y from each equation:

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

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).

no solution

step-by-step explanation:

there is not enough information in the problem to solve.