Answer:
x=15, y=5
Step-by-step explanation:
x+y=20
x-y=10
Adding both equations;
(x+x) + (y-y) = 20+10
2x = 30
x = 30/2 = 15
Substitute x=15 into x+y=20
y= 20-x = 20-15= 5
Complete question:
<em>Write the verbal statement as an equation using x as a variable. Then solve. 2 more than 3 times a number is 17.
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The required expression is 3x + 2 = 17 and the value of x is 5
Let the unknown number be x
- 3 times a number is expressed as 3x
- 2 more than3 times the number is 3x + 2
If the result is equivalent to 17, the required expression will be 3x + 2 = 17
Solve the resulting expression:
3x + 2 = 17
3x = 17 - 2
3x = 15
x = 15/3
x = 5
Hence the required expression is 3x + 2 = 17 and the value of x is 5
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Answer:
Step-by-step explanation:
Solve parenthesis first
Find a common denominator.
The common denominator would be 6.
Because the first expression already has a denominator of 6 it stays the same.
Put that into the original equation.
Isolate the x. Add 
to each side.
Find a common denominator.
we can use 18 as the common denominator.
Add.
We cannot simplify so our answer stays the same.
The probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.
<u>Step-by-step explanation:</u>
- There are 1 red ball and 4 white balls in a box.
- The total number of balls in the box = 1 red + 4 white = 5 balls.
The two balls are drawn without replacement.
<u>Drawing the first ball :</u>
The first draw should be a red ball.
The probability to get a red ball = No.of red balls / Total balls in the box.
We know that, No. of red balls is 1 and total balls in the box is 5.
P(red ball) = 1/5
<u>Drawing the second ball :</u>
The second draw should be a white ball.
The probability to get white ball = No.of white balls / Total balls in the box.
We know that,
No. of white balls is 4.
The total balls in the box after the first draw will be 4 balls.
P(white ball) = 4/4
The probability of getting a red ball on the first drawn and a white ball on the second draw = P(red ball) × P(white ball)
⇒ (1/5) × (4/4)
⇒ 4/20
⇒ 1/5
Therefore, the probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.
