The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution
<u>Solution:</u>
Given, system of equations are:
4x + 4y = 32 ---- eqn (1)
3x + 24 = 3y ----- eqn (2)
We have to determine whether the system has one solution, no solution, or infinitely many solutions.
Now let us solve the given system of equations to determine.
Now, eqn (1) can be written as,
4(x + y) = 32
x + y = 8
x = 8 – y
So, substitute "x" value in eqn (2) to get the value of "y"
3(8 – y) + 24 = 3y
24 – 3y + 24 = 3y
48 = 3y + 3y
y = 8
Then, x = 8 – 8 = 0
Hence we got x = 0 and y = 8
Hence, the given system of equations has only one solution (x, y) = (0, 8)
9514 1404 393
Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
Answer:
1.4
Step-by-step explanation:
We need to convert 103/7497 into a percentage.
All we have to do is multiply the fraction by 100:
103/7497 * 100 = 1.37
To one decimal place, the equivalent fraction is 1.4
Answer:
3/8 is the unit rate/rate of change or 0.375 hours per container.
Step-by-step explanation:
This is a simple problem, all you need to do is take a interval such as (16,6) take the y value and divide it by the x value. So, 6/16 is 3/8 or 0.375. You can do this with all the point intervals on the graph and you will get the same answer 3/8 or 0.375 since the graph is linear.