<span>c. JK
that is where the two planes intersect at
I hope this helps, good luck! :)</span>
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>
Learn more:
You can learn more about the system of linear equations in brainly.com/question/6075514
#LearnwithBrainly
Answer: b. y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
time spent on history homework: 20 minutes
time spent on each math problem: 2 minutes
math problem : x
total time spent :y
So, we have to multiply each math problem (x) by the time spent on each math problem and add the 20 minutes spent on history homework.
The expression obtained is equal to the total time spent
Mathematically speaking:
y=2x+20
x can be any real number greater than or equal to 0, ( it would be 0 if there aren't any math problems)
and y is any real number greater than or equal to 20. ( 20 minutes is the minimum time spent if there aren't any math problems)
Answer: 17, 13, 9, 5, 1
Step-by-step explanation:
y=-2(-2) + 9 = 13
y=-2(0) + 9 = 9
y=-2(2) + 9 = 5
y=-2(4) + 9 = 1
Answer is A or your first option.
