Question

Which is the solution to the system of equations graphed below?

y = x + 2
y = 3x - 2

A. (0,2)
B. (2,4)
C. (0,-2)
D. (4, 2)

Answer 1

i think its D or B but im pretty sure its D

Explanation:

Answer 2

Answer: B. (2,4)

Explanation:

From the given graph it can be seen that the two lines are intersecting at (2,4), therefore the solution to the system of equations graphed must be (2,4).

Or we can check by elimination method.

The given system :

`y = x + 2.......................(1)\\\\y = 3x-2..........................(2)`

Subtracting (1) from (2), we get

`0=2x-4\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2`

Now substitute the value of x in (1), we get

`y=2+2=4`

Hence, the solution of the given system is (2,4)