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13 Are the ordered pairs solutions (yes or no)2x ~ 4y = 8(0 , 4) (4,0) (6,-1) (6, 1)2. Are the ordered pairs solutions (yes or no) y=3x-[(0,-1) (1,,0) (5,2) (2,5)...

Question

13 Are the ordered pairs solutions (yes or no)2x ~ 4y = 8(0 , 4) (4,0) (6,-1) (6, 1)2. Are the ordered pairs solutions (yes or no) y=3x-[(0,-1) (1,,0) (5,2) (2,5)

13 Are the ordered pairs solutions (yes or no) 2x ~ 4y = 8 (0 , 4) (4,0) (6,-1) (6, 1) 2. Are the ordered pairs solutions (yes or no) y=3x-[ (0,-1) (1,,0) (5,2) (2,5)



Answers

Determine whether the ordered pair is a solution of the given system of equations. Remember to use alphabetical order of variables.
$$
\begin{array}{r}
{(3,-1) ; 3 x-4 y=13} \\
{6 x-8 y=26}
\end{array}
$$

We can solve this question by simply plugging in the order pairs. So we're going to dear the 1st 1 three 12. Why? So you plug and why? Which is 12? We multiply it for by three. But just the X and the order pair 3 12 is going to be our answer now. If we want Teoh, check the other parents. That obviously won't work because as we use the ordered pair 12 3 as another example, three obviously does not equal 48.

Problem wants us to test the 0.24 or the order pair to four into the equation. Negative 1/4 X plus six equals y capes Effort Thio. In order to check this, we just plugged those points in for X and y so have negative 1/4 times two plus six and we're trying to see if that equals four. So 1/4 of two, that's just Ah, negative. 0.5 plus six That does not equal for that equals 5.5. This is not a solution to this equation. Okay, Thank you, very

So for 19 were given 200 pairs to to and three minus three, and we have inequality. 0.6 x plus 0.6 y is less than 2.4. So for 19 were supposed to plug in each ordered pair and check which solutions are inequality. So we'll start with 22 We have 220.6 times two plus 0.6 times two is greater than 2.4, and that will solve these out 2.6 times. Two will be 1.2. That's 1.2 again, 1.21 point two was going to be 2.4 greater than 2.4. This is not gonna be true because there's no greater than or equal to its just greater than so our first value or first order payer is not a solution. And now we will check for the second solution. Whoops. My bed. Oh, come on. There we go. Track that over. Yeah, So I will plug in for three. You negative three. So we'll have Let's go back to red or black. 0, 00.6 times three plus 0.6 times minus three is greater than 2.4 now. 0, 00.6 times three is going to be 1.8 at no 0.6 times minus three is going to be minus 1.8 greater than 2.4. Yeah, so we've got we've got 1.8 minus 1.80 which is clearly not greater than 2.4. So are second order. Perry's also not a solution.

Number 22 were given to ordered pairs six minus 12 and eight minus eight. Well, given the inequality 56 x plus five thirds why is greater than four members will do Plug in each ordered pair to check their solutions of our inequality. So I start with six minus 12. You have 56 times six plus five thirds 10 to minus 12 greater than four. Our 56 here are six is can cancel since I 16 denominator and that'll bring this down to five. Time six divided by six, which is one plus five thirds are 12 or minus 12 and our three can cancel, so we'll divide both by three. We had five over here because it becomes 5/1 times minus 12 divided by three, which would be minus four greater than four. Yeah, and I will have five minus five times negative Force 20 less greater than minus 45 20 will be minus 15 greater than four, which is false. So our first ordered Perry is not a solution. Next, we'll check 88 We're here in plug in 5/6 times eight plus five thirds times minus eight is greater than four. Yeah, so now we can simplify Are 56 we consume if I the six and the eight here by dividing both by two. So we'll get 5/3 times four plus. Ah, these This will not simplify. It also will just multiply our five times negative eight. And since there's going to be a negative number, we're going to switch to a minus. Sign here. Five times minus eight Will be 40 over three is greater than four. Major, multiply this out. We'll get five times four is 20/3 minus 40/3. Great is greater than four. 20 since we have the same denominator. Hugh, we can just subtract on numerator. 20 minus 40 is going to be minus 20 over three. He's greater than four, which is also false. So neither of our ordered pairs are solutions for inequality.


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