Question

Graph the system of equations using technology.
What is the x-coordinate of the solution?

Round to the nearest hundredth.
{ 2x - 11y = 4
{ 3x + 5y = 14

Answer 1

Would you like to use the substitution method?

Answer 2

Yes

Answer 3

see i got 4.5 but im not sure if thats right?

Answer 4

Okay, substitution is when we replace the first equation into the other. So, lets choose one equation, 2x - 11y = 4, and solve for x here.
2x - 11y = 4
+11y +11y

2x = 4 + 11y
x = 5.5y + 2

Answer 5

Now replace the value for x into that OTHER equation.

Answer 6

3x + 5y = 14
3( 5.5y + 2 ) + 5y = 14
16.5y + 6 + 5y = 14
21.5y + 6 = 14

Answer 7

You think you could solve for y now? So we could move on to the next step? I need to make sure you know how to solve it. :)

Answer 8

Honestly let me see i really do apologize but i don't ):

Answer 9

Oh, thats fine. Let me do it here:

21.5y + 6 = 14
-6 -6

21.5y = 8
21.5y/21.5 = 8/21.5
y = 8/21.5

Now plug that into one question to solve for x

3x + 5y = 14
3x + 5(8/21.5) = 14
3x + 40/21.5 = 14

Oh my....I'm not sure about this because it stops at a rational number.....