16+5x=8x-5 What would the variable be?
Answers
Reorder the terms
16+5x = -5+8x
Solving for variable for x
Move all terms containing x to the left, all other terms to the right.
Add -8x to each side of the equation.
16+ -3x = -5 + 8x + -8x
Combine like terms: 5x + -8x=-3x
16+-3x = -5 + 8x + -8x
Combine like terms: 8x + -8x = 0
16+-3x = -5 + 0
16+ -3x = -5
Add -16 to each side of the equation
16+-16 + -3x = -5 + 16
Combine like terms: 16+ -16 = 0
0 + -3x =-5 + -16
-3x = -5 + -16
combine like terms: -5 + -16 = -21
-3x = -21
Divide each side by -3
x=7
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(x+2y=6 estimate the solution to the system of equations
Answers
Answer:
x=4/3; y=7/3
Step-by-step explanation:
x+2y=6,
x=6-2y.
7(6-2y)-y=7,
42-14y-y=7,
15y=35,
y=7/3.
x+2y=6,
x+2*7/3=6
x=4/3
∴x=4/3, y=7/3.
Final answer:
To estimate the solution to the system of equations (7x-y=7) and (x+2y=6), we can use the method of substitution. The estimated solution is x = 1.46 and y = 2.27.
Explanation:
To estimate the solution to the system of equations (7x-y=7) and (x+2y=6), we can use the method of substitution. We can solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for x: x = 6 - 2y.
Substituting this value of x into the first equation, we get:
7(6 - 2y) - y = 7
42 - 14y - y = 7
41 - 15y = 7
-15y = 7 - 41
-15y = -34
y = -34 / -15
y = 2.27
Now, substitute this value of y back into the second equation to find x:
x + 2(2.27) = 6
x + 4.54 = 6
x = 6 - 4.54
x = 1.46
Therefore, the estimated solution to the system of equations is x = 1.46 and y = 2.27.
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A. 38
B. 24
C. 12
D. 19
Answers
Answer:
A. 38
Step-by-step explanation:
Let d = number of dimes.
Let n = number of nickels.
First equation:
There are twice as many dimes as nickels. The number of dimes is 2 times the number of nickels. The first equation is:
d = 2n
Second equation:
The value of a dime is $0.10. The value of a nickel is $0.05. The value of d number of dimes is 0.1d. The value of n number of nickels is 0.05n. The total value of d dimes and n nickels is 0.1d + 0.05n. We are told the total value of her dimes and nickels is $4.75. That gives us the second equation:
0.1d + 0.05n = 4.75
We have two equations and two unknowns, so we can answer this question by solving a system of two equations in two unknowns.
d = 2n
0.1d + 0.05n = 4.75
We will use the substitution method.
Since d = 2n, replace d in the second equation with 2n.
0.1(2n) + 0.05n = 4.75
0.2n + 0.05n = 4.75
0.25n = 4.75
n = 4.75/0.25
n = 19
Now that we know the number of nickels, we use the equation d = 2n to find the number of dimes.
d = 2n
d = 2 * 19
d = 38
Answer: Debra had 38 dimes.
Answer:
38
Step-by-step explanation:
Answers
Equivalent to 30^(1/3) = 3.10723250595
Approximately rounded to 3.12.
Combining like terms with rational coefficients
Answers
Answer:
- 0. 75 k - 2 .
Step-by-step explanation:
Given : 0.25k + 1.5 − k − 3.5
To find : Combining like terms with rational coefficients.
Solution : We have given 0.25k + 1.5 − k − 3.5.
On combining like term
0.25 k - k + 1.5 - 3.5.
- 0. 75 k - 2 .
Therefore, - 0. 75 k - 2 .
Answers
the width is 6 less than 3 times the length. let the length be x and put your words into math! 6 less is -6. 3 times a number is 3x, so width=3x-6.
so we have area=l×w which becomes x×(3x-6)=105
solve
factor and solve!
you will get one positive and one negative. pick the positive since lengths cannot be negative
B. 15-1/2x=21
C. 11-2x=17
D.3x-19=-17
Answers
Answer: B. 15-1/2x=21
Step-by-step explanation: