Answer:
/ Solve equation [2] for the variable y
[2] 7y = 12x + 17
[2] y = 12x/7 + 17/7
// Plug this in for variable y in equation [1]
[1] 9x - 2•(12x/7+17/7) = -3
[1] 39x/7 = 13/7
[1] 39x = 13
// Solve equation [1] for the variable x
[1] 39x = 13
[1] x = 1/3
// By now we know this much :
x = 1/3
y = 12x/7+17/7
// Use the x value to solve for y
y = (12/7)(1/3)+17/7 = 3
Solution :
{x,y} = {1/3,3}
Step-by-step explanation:
Answer:
( I am assuming that these are all fractions)
1. 14
2. 8
3.
4. 5
Step-by-step explanation:
1. First you have to convert 15 into a fraction but it must have the same denominator causing the equation to look like 105/7 - 3/7= 102/7. But you cannot just leave the fraction like that it must be simplified 14
2. Three-fifths of an hour is 36 minutes. You would next multiply 5 by 60 which would the hours into minutes 5 x 60 = 300. You would then divide 300 by 36 which would give you 8.3333333333, which I just simplified it to 8
3. In order for you to multiply a fraction you would first multiply the top then the bottom. 12 x 6= 72, 15 x 18= 270. The fraction would look like 72/270 which is simplified to .
4. First I changed the fractions into improper fractions causing the fraction to look like 36/8 x 14/11 (I got these answers by 8 by 4 then adding 4, then for the next fraction I multiplied 11 by 1 then added 3.) 36 x 14= 1224, 11 x 8= 88 the fraction would look like 1,224/88 you would simplify to 5
Hope this helps
Please tell me if I made any mistakes I enjoy learning from them.
Answer: $58.33 (Rounded bc it ends up in becoming a decimal)
Explanation: Let's make an equation for this problem. We know that if she works 3 hours for $25, 3*2=6 with 1 hour leftover. We can substitute those 6 hours for 2 sets of the 3 hours, giving us $50 so far. For the last hour, we have to divide 25 by 3 because it's only 1 hour instead of 3, meaning she'll get paid a third of the original pay rate. 25/3 equals 8.33333333334, so we'll just round that to 8.33, since it's cash. 50+8.33=$58.33. So, you'd earn 58 dollars and 33 cents for working for 7 hours.