I cannot figure this out I keep getting the order pair(1.24,-3.44), but it does not work when I check. Can you help me?
5x+5y=-11
7x-3y=19
The other oneI needed to solve is this Question: 4y+3y<-35
I got -5>-35...is that right?
the first one does check.
7y<-35
y<-5
Are you sure that the sigh does not change In the second problem? I thought that when you divide by neg then the signs switch?
My instructor told me that the first one was wrong, so I kept going over it and over it, and she insists that it is wrong, unless she wants me to use fractions, but an answer in a decimal form is still considered an integer right?
I agree with bobpursley, your first equation solution is correct. It should not matter if you answer as a decimal or fraction of the decimal is exact, which it is.
As to your question about reversing the sign for inequations:
Yes, you do reverse the inequality sign if you multiply or divide by a negative, BUT...
you did not divide by a negative, you divided both sides by +7, so it stays the same.
Of course, I'd be happy to help you with your questions.
Let's start with the first system of equations:
5x + 5y = -11
7x - 3y = 19
To find the solution, we can use the method of substitution or elimination. Since you've already mentioned a specific ordered pair, (1.24, -3.44), let's see if it satisfies both equations to verify whether it is the correct solution.
For the first equation, substituting the values of x and y from the ordered pair:
5(1.24) + 5(-3.44) = -11
6.2 - 17.2 = -11
-11 = -11
So, the first equation is satisfied by the ordered pair (1.24, -3.44).
Now, let's check if the ordered pair satisfies the second equation:
7(1.24) - 3(-3.44) = 19
8.68 + 10.32 = 19
19 = 19
The second equation is also satisfied by the ordered pair (1.24, -3.44).
Therefore, the ordered pair (1.24, -3.44) is indeed the solution to the system of equations.
As for your second question:
4y + 3y < -35
To solve this inequality, you need to combine like terms on the left side:
7y < -35
Next, divide both sides of the inequality by 7 to isolate the variable:
y < -35/7
Simplifying further, we have:
y < -5
So, your answer is correct. The inequality "4y + 3y < -35" is equivalent to "y < -5."