In this problem, you have already shown the solution.
24 = 3y - 6 => 30 = 3y, y =10
12 = 5x + 2 => 10 = 5x , x = 2
And yes, basically parallel sides must have the same length
These are the answers:
for 17.) x = 2
y = 10
for 18.) mid segment = (side 1 + side 2) / 2 -->
19 = (24 + side2) / 2 -->
38 = 24 + side2,
thus, side 2 = 14 units
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let the original price = x
To begin with, we will convert the word problem into an equation as displayed below:
( x / 2 ) - 8 = 18
Now, to find the original price we will simply make ( x ) the subject and solve accordingly as displayed below:
( x / 2 ) - 8 = 18
( x / 2 ) = 18 + 8
( x / 2 ) = 24
x = 24 × 2
x = $48
CHECKING THE ANSWER:
In order to check if the answer is correct, simply substitute the value of x into the original equation and solve. If the left-hand and right-hand side are equivalent, then the answer is correct as displayed below:
( x / 2 ) - 8 = 18
( 48 / 2 ) - 8 = 18
24 - 8 = 18
18 = 18
Therefore, the answer is:
x = $48
Answer:
General Patton
Step-by-step explanation:
He kicked Rommel into next year. Simple as that.
Answer:
Either x = 3, y = 2
or
(3,2) is your answer.
Step-by-step explanation:
2x +y = 8 (1)
y = - x+ 5 (2)
Put equation (2) into equation (1). Use the y value in (2) to go into the y value in (1).
2x - x+5 = 8 Combine the x values
x + 5 = 8 Subtract 5 from both sides
x + 5-5 = 8-5
x=3
Now go back to (2). Put x in for the value of -x. Watch the sign.
y = -3+ 5
y = 2
So the answer is (3,2)