Answer:
45.43
Step-by-step explanation:
1. how many times 47 fits on 985? 20×47=940
try higher: 47×21=987. So use 20. subtract 985-940=45. how many times does 47 fit on 45? 0 so the answer should be 20 remainder 45
Standard form: Ax + By = C where A, B, and C are integers.
(if you don't remember, integers are numbers like ...-2, -1, 0, 1, 2, 3...etc.)
Question 1
y+3=4(x-1)
Distribute the 4.
y+3=4x-4
Subtract 3 from the left.
y=4x-7
Subtract 4x from the right.
-4x+y=-7
multiply everything by -1 and make the x coefficient positive, it looks better
4x-y=7
y=1/4x-2
multiply everything by 4 to get rid of fractions
4y=x-8
subtract x
-x+4y=-8
multiply by -1
x-4y=8
y+2=2/3(x+4)
multiply by 3 to get rid of fractions
3y+6=2(x+4)
distribute
3y+6=2x+8
subtract 6
3y=2x+2
subtract 2x
-2x+3y=2
multiply by -1
2x-3y=-2
Hello there!
To solve this system using substitution, notice that you already have one variable, x, solved for:
x=5-3y
Now, plug 5-3y in place of x in the other equation, -6x+5y=16:
-6(5-3y)+5y=16
Now simplify:
-6(5-3y)+5y=16
-30+18y+5y=16
-30+23y=16
23y=46
y=2
Now that you have y=2, plug this value in place of y into any of the two equations to solve for x:
x=5-3(2)
x=4-6
x=-1
Therefore, your final answers are that x=-1 and y=2 or (-1,2)
