Question

CAN YOU HELP WITH THIS ONE QUESTION , JUST TRYING TO GET BACK ON HONOR ROLL !

Which is true given the two equations below?

3 + 2 = 5
3 - 2 = 1
A.
(3, 2) is the intersection point of the graphs of
3x + 2y = 5 and 3x - 2y = 1.


B.
(3, 2) is the intersection point of the graphs of
x + y = 5 and x - y = 1.


C.
(5, 1) is the intersection point of the graphs of
3x + 2y = 5 and 3x - 2y = 1.


D.
(5, 1) is the intersection point of the graphs of
x + y = 5 and x - y = 1.

Answer 1

B. TRUE.

(3, 2) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

Explanation:

Option B is TRUE because intersection point should satisfy both the equation

and in option be it comes true.

i.e x = 3 and y = 2 we have

3 + 2 = 5 and 3 - 2 = 1

5 = 5 and 1 = 1

Hence TRUE

A.

(3, 2) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 3 and y = 2 we have

3×3 + 2×2 = 5 and 3×3 - 2×2 = 1

13 ≠ 5 and 5 ≠ 1

Hence FALSE

C.

(5, 1) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 5 and y = 1 we have

3×5 + 2×3 = 5 and 3×5 - 2×3 = 1

21 ≠ 5 and 9 ≠ 1

Hence FALSE

D.

(5, 1) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

i.e x = 5 and y = 1 we have

5 + 1 = 5 and 5 - 1 = 1

6 ≠ 5 and 4 ≠ 1

Hence FALSE