SOLUTION: Ok so I've tried to do this problem quite a few times and I just can't seem to get it. 2x+5y=19 x=32-7y I tried to solve by substitution, I did this: 2(32-7y)+5y=19 64-14y+5y=

Algebra ->  Expressions-with-variables -> SOLUTION: Ok so I've tried to do this problem quite a few times and I just can't seem to get it. 2x+5y=19 x=32-7y I tried to solve by substitution, I did this: 2(32-7y)+5y=19 64-14y+5y=      Log On


   



Question 173903: Ok so I've tried to do this problem quite a few times and I just can't seem to get it.
2x+5y=19
x=32-7y
I tried to solve by substitution, I did this:
2(32-7y)+5y=19
64-14y+5y=19
20y=83
But as you can see that is not right, I cannot figure out what I am doing wrong. I am supposed to end up with an ordered pair, I just don't get it.

Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2x+5y=19
x=32-7y
I tried to solve by substitution, I did this:
2(32-7y)+5y=19
64-14y+5y=19
-9y = -45
y = 5
---------
Substitute into x = 32-7y to get:
x = 32 - 7*5 = -3
============
Final Answer:
x = -3, y = 5
=================
Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Your system:
2x%2B5y=19
x=32-7y

Your solution:
2%2832-7y%29%2B5y=19 Ok, spot on.
64-14y%2B5y=19 Still going well.
20y=83 Oops! How did you manage to add -14y to 5y and come up with 20y? -14y%2B5y=-9y. Also, you subtracted 64 from the left side, but added it to the right side. You need to subtract 64 from both sides.

64-14y%2B5y=19

-9y=19-64

-9y=-45

y=5

Half done. Now you need to go back and use this value for y to calculate the value for x that satisfies both equations.

So take x=32-7y and substitute 5 for y.

x=32-7%285%29=32-35=-3

Now you can write your ordered pair because you have an x value and a corresponding y value.

The solution set for your system is (-3,5).

Ah, ah, ah...not so fast. We still need to check the answers. Substituting the values of x and y into both equations must result in two true statements. Let's see:

2%28-3%29%2B5%285%29=-6%2B25=19 True

-3=32-7%285%29=-3 True

Answer checks.