<span>Multiply one of the equations so that both equations share a common complementary coefficient.
In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
You can multiply the 1st equation by -2/5 to allow cancelling the a term.
You can multiply the 1st equation by 5/3 to allow cancelling the b term.
You can multiply the 2nd equation by -2.5 to allow cancelling the a term.
You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that.
5a + 3b = –9
2a – 5b = –16
5*(5a + 3b = -9) = 25a + 15b = -45
3*(2a - 5b = -16) = 6a - 15b = -48
Then add the equations
25a + 15b = -45
6a - 15b = -48
=
31a = -93
a = -3
And then plug in the discovered value of a into one of the original equations and solve for b.</span>
First, you need to find how much an ounce costs. To do that, you have to divide 1.39 by 8. Then you get about 0.17. Now, you multiply 0.17 by 14, and get the answer of 2.38. Therefore, a 14-oz bottle of ketchup costs $2.38.
Answer:
50
Step-by-step explanation:
.80n = 40
n = 40 divided by .80
40/8/10 = 400 / 80 = 50
Best Of Luck,
- I.A. -
Answer:
4 batches: 
cups
7 batches: 
cups
Step-by-step explanation:
If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.
× 
= 
=
If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to .
× 
= 
= 2
=
Thus, and are the answers.
hope this helps!
