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
Answer:
Step-by-step explanation:
2c+10=22
-10. -10
——————-
2c. = 12
Divide 2c from 12 and you get your answer
Hi there!
We can solve by setting both equations equal to each other:
.5x + 4 = -.25x² + 5
Move everything to one side:
0 = -.25x² - .5x + 1
Multiply both sides by 4 to cancel out the decimals:
0 = -x² - 2x + 4
Factor out negative from both sides:
0 = x² + 2x - 4
Use the quadratic formula:
Plug in the corresponding terms:
Simplify:
Simplify the radical to reduce:
Divide all terms by 2: