Answer:
(3,2)
Step-by-step explanation:
We are given the system:
3x-y=7
2x-2y=2.
We are asked to solve this by substitution. We need to pick an equation and pick a variable from that equation to solve for that variable.
I really like either for this. Some people might go with the first one though. Let's do that. I will solve the first one for y.
3x-y=7
Subtract 3x on both sides:
-y=-3x+7
Divide both sides by -1:
y=3x-7
Now we are ready for substitution. We are going to plug this equation into the second equation giving us:
2x-2y=2 with y=3x-7 gives us:
2x-2(3x-7)=2
Distribute:
2x-6x+14=2
Combine like terms:
-4x+14=2
Subtract 14 on both sides:
-4x =2-14
Simplify:
-4x =-12
Divide both sides by -4:
x =-12/-4
Simplify:
x =3
So using y=3x-7 and x=3, I will find y now.
y=3x-7 if x=3
y=3(3)-7 (I inserted 3 for x since we had x=3)
y=9-7 (Simplified)
y=2 (Simplified)
The answer is (x,y)=(3,2).
The equation, in point-slope form of the line that is parallel to the given line and passes through the point (-1, -1) is y + 1 = 3(x + 1).
<u>Solution:</u>
Given that, a line passes through (0, -3) and (2, 3).
We have to find the line equation which is parallel to above line and passes through (-1, -1).
Now, let us find the slope of the given line.
So, slope of given line is 3,
Then, slope of required line is also 3, as slopes of parallel lines are equal.
Then, required line equation in point – slope form is given as:
Hence, the line equation is y + 1 = 3(x + 1).
Answer:
Step-by-step explanation:
d
Answer:
the triangle formed from the coords is 3cm by 9cm so try 3 × 9 = 27 then 27 ÷ 2 = 13.5 from the formula a = ½bh?
Step-by-step explanation:
Answer:
The angle of depression is the angle below straight ahead -- horizontal -- that an observer must look in order to see something below the observer.
