Answer:
Step-by-step explanation:
4x − y = −11
2x + 3y = 5
lets multiply the second equation by -2 and add it to the first:
4x − y = −11
-4x - 6y = -10
------------------
0 - 7y = -21
y = -21/-7
y = 3
now we substitute this result in the first equation to find x:
4x − y = −11
4x - 3 = -11
4x = -8
x = -8/4
x = 2
so the solution is y = 3 and x =2
4x − 9y = −21
−10y = −30
we solve for y
−10y = −30
y = -30/-10
y = 3
and substitute in the first equation:
4x − 9y = −21
4x − 9(3) = −21
4x - 27 = -21
4x = 6
x = 6/4 = 3/2
so the solution is x = 3/2 and y = 3
4x + 3y = 5
2y = −6
we solve for y:
2y = −6
y = -6/2
y = -3
we do substitute in the first equation:
4x + 3y = 5
4x + 3(-3) = 5
4x - 9 = 5
4x = 14
x = 14/4
x = 7/2
so the solution is x = 7/2 and y = -3
7x − 3y = −11
9x = −6
we solve for x:
9x = −6
x = -6/9
x = -2/3
then we substitute in the first equation the result found:
7x − 3y = −11
7(-2/3) − 3y = −11
-14/3 - 3y = -11
we multiply by 3 to eliminate fractions:
-14 - 9y = -33
9y = 19
y = 19/9
so the solution is x = -2/3 and y = 19/9
12x − 3y = −33
14x = −28
we solve for x:
14x = −28
x = -28/14
x = -2
then we substitute in the first equation:
12x − 3y = −33
12(-2) − 3y = −33
-24 - 3y = -33
3y = 9
y = 3
then the solution is x = -2 and y = 3
Answer:
28
Step-by-step explanation:
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Next, identify the numbers.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Finally, convert everything into an equation.
42
=
2
⋅
blouse
−
14
Now, solve the equation.
56
=
2
⋅
b
l
o
u
s
e
b
l
o
u
s
e
=
28
Answer: 3.64, 10.00
Step by step:
Answer:
pa pic nyou nalang kung may pic plss
Answer:
18.11 miles per gallon
Step-by-step explanation:
Get the miles traveled from the trip odometer, or subtract the original odometer reading from the new one.
Divide the miles traveled by the amount of gallons it took to refill the tank. The result will be your car’s average miles per gallon yield for that driving period.
44,895-44,587 = 308 miles
308/17 = 18.11
