## alainabbyboo22 3 years ago Using the graph, which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?

1. alainabbyboo22

A. (0.5, 0.5) B. (-0.3, 1.1) C. (1.2, 0.8) D. (0.8, -0.5)

2. alainabbyboo22

3. dumbcow

set the 2 equations equal and solve for x 3x+2 = -1/4x +1

4. alainabbyboo22

So basically just put the numbers in for x, and whichever equation equals the same for both, is my answer?

5. alainabbyboo22

???

6. dumbcow

yeah you could do that too :)

7. alainabbyboo22

Okay thanks! :)

8. alainabbyboo22

I tried plugging in all the numbers for x and none of them equal the same.. or am I doing the wrong thing for this problem? I don't get it.

9. dumbcow

Try plugging in x = -0.3 again 3(-.3) +2 = ? -1/4(-.3) +1 = ?

10. dumbcow

there is some rounding error

11. alainabbyboo22

3(-.3)+2 = 1.7 -1/4(-.3)+1 = 0.7

12. alainabbyboo22

So now what?

13. dumbcow

3*(-.3) = -.9

14. alainabbyboo22

Okay but my answer choices available are: A. (0.5, 0.5) B. (-0.3, 1.1) C. (1.2, 0.8) D. (0.8, -0.5)

15. hoblos

you must solve it graphically so you only need to find the point of intersection between the two lines y = 3x + 2 & y = -1/4 x + 1 from the graph then the solution is (-0.3, 1.1)

16. alainabbyboo22

Oh!!!!! Well that would've helped me a long time ago. Lol thank you so much hoblos! :) It means a lot! :)

17. hoblos

my pleasure XD