Question

2y+4=5x-4=

Help please

Answer 1

2y+4 is equal to 5x-4.

5y+1 is equal to 3x.

Explanation:

2y+4=5x-4=

According to the properties of a quadrilateral, the parallel or the opposite sides of the figure are equal. Hence, in this figure, the lengths from A to B will be equal to the length from D to C and the lengths from A to D will be equal to the length from B to C.

Therefore, in such a case 2y+4 is equal to 5x-4.

Likewise, 5y+1 is equal to 3x.

Answer 2

x = 2 and y = 1.

Explanation:

If in the given quadrilateral all angles ∠A, ∠B, ∠C, ∠D are 90°and opposite sides are equal, then this property of a quadrilateral concludes that the given quadrilateral is a rectangle.

5x - 4 = 2y + 4

5x - 2y = 4+4 =8--------(1)

and 5y + 1 = 3x

3x - 5y = 1--------(2)

We multiply equation 1 by 3 and equation 2 by 5

15x - 6y = 24------(3)

15x - 25y = 5------(4)

Now we subtract equation 4 from 3

15x - 6y - (15x - 25 y) = 24-5

15x -6y -15x + 25y =19

19y = 19

y = 1

By putting y = 1 in equation 1.

5x - 2 = 8

5x = 10

x = 2