Answer:
x + y = 3 (infinite solutions)
Step-by-step explanation:
You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."
That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.
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<em>Additional comments</em>
There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.
We can solve the first equation for y by subtracting x from both sides:
x +y -x = 3 -x
y = -x +3 . . . . . . simplify
In this form, the slope is the coefficient of x. Here, it is -1.
This expression for y can be substituted into the other equation:
3x +3(-x +3) = 9
3x -3x +9 = 9 . . . . . eliminate parentheses
9 = 9 . . . . . . . . . . . simplify
This is true for all values of x or y. There are an infinite number of solutions.
Answer:
A = 58
B =:25
Step-by-step explanation:
C = A + B
83 = 9x + 4 + 4x + 1
83 = 13x + 5
13x = 78
x = 78/13
x = 6
A = 9x + 4 = 9 x 6 + 4 = 58
B = 4x + 1 = 4 x 6 + 1 = 25
Percent of change is +25%
No solution for the quadratic equation because of the √-20
Answer:
2,016.67 sq. cm
Step-by-step explanation:
Given the approximate ratio of the sides of a rectangle as 3:4:5.
Total ratio = 3+4+5 = 12
Area of the rectangle = 1/2*base *height
get the base;
base = 3/12 * 220
Base = 55cm
Get the height
Height = 4/12 * 220
Height = 880/12
Height = 73.3cm
Area = 1/2 * 55 * 73.3
Area = 2,016.67 sq. cm
