Answer:
y = 29/4
Step-by-step explanation:
It is given that,
3/(y - 5) = 15/(y + 4)
<u>To find the value of y</u>
we have,
3/(y - 5) = 15/(y + 4)
3(y + 4) = 15(y - 5)
(y + 4) = 5(y - 5) [dividing both sides by 3]
y + 4 = 5y - 25
5y - 25 = y + 4
5y - y = 4 + 25
4y = 29
y = 29/4
Therefore the value of y = 29/4
Answer:
x = 24 , y = 10, z = 17
Step-by-step explanation:
Given
6x - 29 = 115
6x = 115 + 29
6x = 144
x = 144 / 6
x = 24
3y - 1 = 29
3y = 29 + 1
3y = 30
y = 30 / 3
y = 10
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68 / 4
z = 17
Hope it will help :)
Answer: 25
Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.
The question is, what is that number?
Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.
So half of -10 squared or -5 squared which is 25.
So 25 is added to both sides.
6x - 15 = 75 (Third Equation)
6x = 90
x = 15 ✅
x + (x - 10) = 26 (Fourth Equation)
x + x - 10 = 26
2x - 10 = 26
2x = 36
x = 18 ✅
5x - 3x = 10 (First equation)
2x = 10
x = 5 ✅
2(2x - 1) = 46 (Second equation)
4x - 2 = 46
4x = 48
x = 12✅
