Answer:
x = 19
Step-by-step explanation:
Solve for x:
3 x + 43 = 100
Subtract 43 from both sides:
3 x + (43 - 43) = 100 - 43
43 - 43 = 0:
3 x = 100 - 43
100 - 43 = 57:
3 x = 57
Divide both sides of 3 x = 57 by 3:
(3 x)/3 = 57/3
3/3 = 1:
x = 57/3
The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:
Answer: x = 19
Answer:
The system is INCONSISTENT.
Equation of two parallel lines differ only by a constant.
Step-by-step explanation:
The given equations are:
2x + y = -11
6x + 3y = 15
From the graph we see that these lines are parallel. Any two parallel lines never meet. Hence, they do not have a solution.
Hence, the system is called an Inconsistent system.
Also, note that it can be seen easily from the equations are parallel without the help of a graph.
The equation 6x + 3y = 3(2x + y)
The terms (except for the constant term) are proportional. That means they represent parallel lines.
Hence, the answer.
Answer: 2a/3 + b/3
Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.
Answer:
5
Step-by-step explanation:
The length of the rectangle is 26ft.
What is the perimeter of a rectangle?
- The sum of all sides of a rectangle is the perimeter of the rectangle.
- A rectangle has two equal lengths and two equal widths.
- Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths.
- That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.
<h3>What is the length of the rectangle with perimeter 96ft and the width 22ft?</h3>
The perimeter of a rectangle is, P = 96 ft.
The width of the rectangle is, w = 22ft.
As we know the perimeter P of a rectangle is given by the formula, P=2l+2w
Therefore, substituting the values in the equation we get,
P = 2l + 2w
96 = 2l + 2*22
96 = 2l + 44
2l = 96 - 44
2l = 52
l = 52/2
l = 26
Hence, the length of the rectangle is 26ft.
Learn more about the perimeter of a rectangle at brainly.com/question/19819849
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