Answer:
Step-by-step explanation:
<u>Given system:</u>
- 2x - y = - 2
- 15x - 2y = - 7
<u>Solve by elimination, multiply the first equation by - 2 and add up the equations:</u>
- -2(2x - y) + 15x - 2y = - 2(- 2) - 7
- -4x + 2y + 15x - 2y = 4 - 7
- 11x = - 3
- x = - 3/11
<u>Find the value of y:</u>
- 2( - 3/11) - y = - 2
- -6/11 - y = - 2
- y = 2 - 6/11
- y = 1/11
<u>Solution is:</u>
- <em>None of the answer choices is matching this solution. Something must be wrong with the given equations.</em>
There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!
Start with the first sentence.
x + y + z = 6.0
Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.
0.7 + y + z = 6.0
Now I'll subtract 0.7 from both sides to see what y and z have to add up to.
0.7 + y + z - 0.7 = 6.0 - 0.7
y + z = 5.3
Now I'll choose a random number for y that's less than 5.3.
2.6 + z = 5.3
And subtract 2.6 from both sides to find z.
2.6 + z - 2.6 = 5.3 - 2.6
z = 2.7
And now we have our numbers!
x = <u>0.7</u>
y = <u>2.6</u>
z = <u>2.7</u>
Answer:
24.75 = 3*4.50 + x*4.50
x= 2.5 pounds of Granny Smith apples
Step-by-step explanation:
Gala apples = 3 lbs
Granny apples = x lbs
They cost 4.50 a pound
Total cost = 24.75
Total cost = gala apples * cost per pound + granny apples * cost per pound
Substitute in what we know
24.75 = 3*4.50 + x*4.50
24.75 = 13.50 + 4.5x
Subtract 13.50 from each side
24.75-13.50 = 13.50-13.50 + 4.5x
11.25 = 4.5x
Divide by 4.50 on each side
11.25/4.5 = 4.5x/4.5
2.5 =x
25 questions
Explanation: 20 divided by 25 is .8 which is 80%