The solution of the system of equations is (6 , -7)
Step-by-step explanation:
There are two method to solve the system of equations
- Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
- Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable
Let us use the elimination method with your problem
∵ 3x + 2y = 4 ⇒ (1)
∵ 3x + 6y = -24 ⇒ (2)
- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs
∵ -3x - 2y = -4 ⇒ (3)
- Add equations (2) and (3)
∴ 4y = -28
- Divide both sides by 4
∴ y = -7
Substitute value of y in equations (1) OR (2) to find x
∵ 3x + 2(-7) = 4
∴ 3x - 14 = 4
- Add 14 for both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
The solution of the system of equations is (6 , -7)
<em>I hope this explanation help you</em>
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Answer:
A - 17.576
Step-by-step explanation:
All we have to do is replace s with 2.6!
V = s^3
v = 2.6^2
v = (2.6)(2.6)(2.6)
v = 6.76 * 2.6
v = 17.576
So, the volume of the cube is 17.576 feet! :)
Answer:
It seems that your options aren't correct as the right answer is -5.3333... (recurring)
Step-by-step explanation:
1) 2x + 4 = 20 + 5x (subtract by the smallest unknown)
-2x -2x
2) 4 = 20 + 3x
-20 -20 (now subtract each side by 20 as we want to leave the unknown on one side and another number on the other side.
3) -16 = 3x (Divide each side by 3)
÷3 = ÷3
4) -5.33333... = x
<h3>Now we have found x but if you're unsure you can substitute to see if your answer is correct.</h3><h3>2 x -5.3333 + 4 = -6.6666</h3><h3>20 + 5 x -5.3333= -6.6665</h3><h3>Our answer is correct! (When answers are rounded, it is equal to the same thing).</h3>
One person being nervous around strangers is assumed independent of other people behaviour. Then, the multiplication rule can be applied as
both nervous = 0.14*0.14 = 0.0196 = 1.96%
one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%
At least one nervous = 1.96% + 12.04% = 14%
Answer:
5^(14)
Step-by-step explanation:
5^3 x 5^11
We know that a^b * a^c = a^(b+c)
5^3 x 5^11 = 5^(3+11) = 5^(14)
