Answer:
A) Slope = -2 and y-int = 1
Step-by-step explanation:
The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
So, let's subtract 8x from both sides, leaving 4y on the left side:
8x + 4y = 4 -> 4y = -8x + 4
Now, let's divide both sides by 4, so that we can have just y on the left side:
y = -2x + 1
-2 is the slope, and 1 is the y-intercept.
Answer:
4
Step-by-step explanation:
The y-variable can be eliminated by adding 3 times the first equation to the second:
3(2x -y) +(x +3y) = 3(11) +(-5)
7x = 28 . . . . simplify
x = 4 . . . . . . . divide by 7
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Using Cramer's Rule, you can also find the x-value. The math is not so different.
x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
Answer:
1) 9 min 36 sec (9.6min)
2) 15 cm
Step-by-step explanation:
10 cm -->4 min
1 cm --> 0.4 min
24cm --> 9.6 min
15 cm--> 6min
