Using substitution:
4x+2y=12
y=8x+1
4x+2(8x+1)=12
distribute
4x+16x+2=12
combine like terms
18x+2=12
subtract 2 from both sides
20x=10
divide each side by 20
x=10/20
reduce
x=1/2
plug in x for the y= equation
y=8(1/2)+1
multiply
y=4+1
add
y=5
answer:
(1/2,5)
Answer:
150 miles
Step-by-step explanation:
If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.
Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.
3*2=6
20*6=120
Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.
10*3=30
120+30=150
The actual distance is 150 miles.
Hope this helps!
Sent a picture of the solution to the problem (s).
Answer:-5
-8x-2=-16
-16+11=-5
First, you solve the exponent: 2(8-4)
—————
32
Do PEMDAS
2(4)
——
32
8
—
32
1
—
4
That’s your final answer :)