Hello from MrBillDoesMath!
Answer:
x = 19, y = 36
Discussion:
x + 3 = 22 (*)
2x - y = 2 (**)
Subtract 3 from both sides of (*)
x + 3 -3 = 22 = 3 = 19 =>
x = 19
Substitute x= 19 in (**)
2(19) - y = 2 =>
38 - y = 2 => (add y to both sides)
38 -y + y = 2 + y =>
38 = 2 + y => (subtract 2 from both sides)
38 -2 = 2 -2 + y =>
36 = y
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer: B. y = 1/2x - 1
Explanation:
I know someone else already answered, but I wanted to explain why the answer is B.
Consider an equation of a line in slope-intercept form: y = mx + b
Since the line intersects the y-axis at -1, that’s the y intercept, or b. We know the slope of the line is positive because it slopes upward from left to right. From each whole number solution point, the line goes up one and two to the right. Slope, represented by m, is “rise” over “run”, or the change in y over the change in x. This makes the slope 1/2.
I hope this helps.
Solution:
1) Simplify \frac{1}{6}x to \frac{x}{6}
y=\frac{x}{6}-2
2) Add 2 to both sides
y+2=\frac{x}{6}
3) Multiply both sides by 6
(y+2)\times 6=x
4) Regroup terms
6(y+2)=x
5) Switch sides
x=6(y+2)
Done!
divide total bags by number of hours
30 bags / 3 hors = 10 bags per hour
he racked 10 bags per hour
Use photomath. Do not click on the link the other person which is actually a bot put.
