Gradient means slope'
y=mx+b
m=slope
y=6x+5
6=slope
answer is 6
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
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How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
- 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
- 9y + (-6y) is the same as 9y-6y which turns into 3y
- 12 + 18 becomes 30
After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
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Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
$138.78 is the rounded figure
The answer is x=45. Hope this helps!
A perendicular line will have a slope that is the negative reciprocal of the perpendicular slope. The negative reciprocal of - 1/3 is 3. So far we have y=3x+b since 3 is the new slope. However, we need to set a b value such that it passes through (1,5). Set y to 5 and x to 1. 5=3(1)+b and we can see that to satisfy this, b must be 2. Thus, the line is y=3x+2