Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
Add fraction and then multiply
Answer:
Step-by-step explanation:
<u>Given:</u>
- x + 2 is a factor of 2x³ + 6x² + dx - 5
<u>Work out the value of d:</u>
(2x³ + 6x² + dx - 5) ÷ (x + 2) = 2x² + 2x - 2.5
<u>2x³ + 4x²</u>
2x² + dx
<u> 2x² + 4x </u>
<u> (d-4)x - 5</u>
- -5/2 = -2.5
- d - 4 = -2.5 ⇒ d = 1.5
<u>The expression is:</u>
<u>Divide it by 2x - 1:</u>
(2x³ + 6x² + 1.5x - 5) ÷ (2x - 1) = x² + 3.5x + 2.5
<u> 2x³ - x²</u>
7x² + 1.5x
<u> 7x² - 3.5x</u>
5x - 5
<u>5x - 2.5</u>
-2.5
The remainder is -2.5
<span>your question isn't very clear, but I'll try to answer
</span><span>943
</span>the first digit (9) is the largest, the second digit (4) is the 2nd largest, and the third digit (3) is the smallest.
the first digit is odd, the second is even, and the third is odd
10.20
(-2-0)^2+(4-(-6))^2
4 + 100
104 square root=10.20