3x-2y=-5
3y-4x=8
1) multiply the first equation by 3
3(3x-2y=-5) this will give you the new equation: 9x-6y=-15
2) multiply the second equation by 2
2(3y-4x=8) this should give you the equation: 6y-8x=16
3) combine both equations/ like terms
9x-6y=-15
6y-8x=16
4) -6y and 6y cancel out
9x=-15
-8x=16
5) 9x and -8x combine to make 1x or just x and -15 combined with 16 gives you just 1
6) we are now left with:
x=1
7) plug in the x to any of the two original equations ( i chose the first)
3x-2y=-5
3(1) - 2y = -5
3 - 2y = -5
-2y = -8
y = 4
When you plug in the x=1 you are given 3(1) - 2y = -5
Distribute the 3 and you should have 3 - 2y = -5
Subtract 3 from 3 (this cancels out) then from -5
This should leave you with -2y = -8 ( -3 and -5 add to -8)
Divide by -2 ( -2 divided by -2 cancels out)
-8 divided by -2 gives you 4 (two negatives make a positive)
So, y=4 and x=1
To check, plug in x=1 and y=4 into one equation. when you're done with that you can plug them into the other. when you plug them into the first equation you get -5=-5 which means they worked. when plugged into the second, the result is 8=8 which means x=1 and y=4 worked for both equations.
<h3>
Answer: Choice B</h3>
Work Shown:
1.05*20 = 21
The 1.05 represents an increase of 5% because
100% + 5% = 1.00 + 0.05 = 1.05
the answer is 1
you just gotta use the forula for dividing fracitons which is keep the first fraction the sme do the opposite operation and flip the other fraction
Answer:
720 grams of flour.
10.8 grams of salt.
14.4 grams of yeast
36 ml of oil.
Step-by-step explanation:
The recipe is:
600g flour
9g salt
12g yeast
30ml oil
500ml water
Now we use 600ml of water.
We can take the quotient between the amount of water we use and the amount of water in the recipe, this is:
600ml/500ml = 1.2
Then the ratio between the quantities we need to use and the quantities un the recipe should be always 1.2
Or the quantities that Eli needs to use will be 1.2 times the ones shown in the recipe.
Then she needs to use:
1.2*600g flour = 720 grams of flour.
1.2*9g salt = 10.8 grams of salt.
1.2*12g yeast = 14.4 grams of yeast
1.2*30ml oil = 36 ml of oil.
Answer:
B. -4<x<2
Step-by-step explanation:
The highest x point is -4 and lowest peak is 2
