Step-by-step explanation:
Step:1
From given, the rate is
= 15 miles per gallon
= \frac{15}{1}115 = 15 miles.........................(1)
Step:2
Check for Option A,
= 30 miles per 3 gallons
= \frac{30}{3}330 = 10 miles.....................(2)
From the eqn (1) and (2),
Eqn (1) ≠ Eqn (2)
Step:3
Check for Option B and C are not match with given because, Miles provided first or top then the gallons provided the last or bottom.
Step:4
Check for Option D,
= 60 miles per 4 gallons
= \frac{60}{4}460 = 15 miles.........................(3)
From the eqn (1) and (3),
Eqn (1) ≠ Eqn (3)
Result:
The equivalent unit rate for 15 miles per gallon is 60 miles per 4 gallons (\frac{60 miles}{4 gallons}4gallons60miles ) .
First, isolate x in x-4y=11 because 1 is x's coefficient.
x-4y=11
x=11+4y
Now, substitute 4y+11 for x in 5x-7y=-10.
5x-7y=-10
5(4y+11)-7y=-10
20y+55-7y=-10
Add all coefficients.
13y+55=-10
Isolate y by subtracting 55 from both sides.
13y+55=-10
13y=-10-55
13y=-65
y=-5
Now substitute -5 for y in your first equation.
x=11+4y
x=11+4(-5)
x=11-20
x=-9
Your answer would be (-9,-5).
Any questions you may have, please contact me or comment.
Answer:
converting the equation to improper fraction
31/5+(-38/5)
31/5-38/5( the plus sign affected the minus sign inside of the bracket which is+*- = -)
multiply both terms by 5
31-38= -7
The difference of -34 and -43 is 9
-34 - -43 = 9
I hope this helps
