<h3>Given Equation:</h3>
x = 7 + 3y
or, x - 3y - 7 = 0 ........ (i)
5x + 6y = 14
or, 5x + 6y - 14 = 0 .........(ii)
<h3>To Find:</h3>
The value of x and y.
<h3>Solution:</h3>
By dividing eq. ii by 2, we get
5/2x + 3y - 7 = 0 ........ (iii)
By adding eq. i and eq. iii, we get
15/2x = 0
or, <u>x = 0</u> ........(iv)
By putting eq.(iv) in eq. (i), we get
0 - 3y - 7 = 0
or, -3y = 7
or, <u>y = </u><u>-</u><u>7/</u><u>3</u>
<h2>Answer: ( 0, -7/3 )</h2>
The value of x and y is 0 and -7/3 respectively.
Step-by-step explanation:
<em>Prologarithmize both parts of the equation:</em>
<u><em> Divide both parts of the equation by 2:</em></u>
Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.
Let's solve.
If the number is a natural number. The values it can take is,
Answer:
The shortest side of the triangle is 3 inches.
Step-by-step explanation:
Given:
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.
The perimeter = 13.5 inches.
Now, to find the shortest side.
<em>Let the one side be </em>
<em>And the second side be .</em>
<em>And the third side be .</em>
According to question:
⇒
Adding all the variables by taking common denominator we get:
⇒
<em>Multiplying both sides by 12 we get</em>:
⇒
<em>Dividing both sides by 9 we get</em>:
⇒
Thus, <em>the sides of the triangle are</em>:
<u>1/6×18=3 inches.</u>
<u>1/3×18=6 inches.</u>
<u>1/4×18=9/2=4.5 inches</u>.
Therefore, the shortest side of the triangle is 3 inches.