Answer:
x=4
Step-by-step explanation:
4x-3=x+9
4x-x-3=9
4x-x=9+3
3x=9+3
3x=12
3/3
12/3=4
x=4
<u>Step 1</u>
Convert mixed fractions into fractions
6 2/5 = (6*5)+2) / 5 = 32/5
2 2/3 = (2*3)+2) / 3 = 8/3
<u>Step 2</u>
32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
<u>Step 2 (A)</u>
Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
<u>Step 2 (B)</u>
Multiply 1st fraction to the reciprocal of the 2nd fraction
32/5 * 3/8 = (32*3) / (5*8) = 96/40
<u>Step 2 (C)</u>
Simplify the fraction
96/40 divide by 4 will become 24/10
24/10 divide 2 will become 12/5. The simplest fraction of 96/40
The unit rate is 12/5 = 2 2/5 revolutions per second
The answer is 113. As said by the calculator
Answer:
x = 2, y = 3
Step-by-step explanation:
i) It is given that 5x - 3y =1
ii) It is also given that x = 2y - 4
iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1 ⇒ 10y - 20 -3y = 1 ⇒ 7y = 21 ∴ y = 3
iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.
v) Therefore x = 2.