Answer:
y=1.5x+5
Step-by-step explanation:
Answer:
Part a) We should try to eliminate the y's because the coefficients are the same
Part b) The solution is the point (6,-9)
Step-by-step explanation:
Part a) Which variable pair should we try to eliminate?
we have
----> equation 1
----> equation 2
Solve by elimination
We should try to eliminate the y's because the coefficients are the same
Part b) What is the solution to the system?
Multiply equation 2 by -1 both sides
-----> equation 3
Adds equation 1 and equation 3
Find the value of y
The solution is the point (6,-9)
Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
-10 + 12 = 2
2 = 2
Your answer is correct.
Hope this helps!
Answer:
x + 3y + 11 = 0 is the required equation.
Step-by-step explanation:
Here the given points are A( -2,-3) and B(4,-5)
Now, slope of the equation =
Hence, the slope of the equation is m = (-1/3)
Now, by POINT SLOPE FORMULA:
The equation of a line with slope m and point (x0, y0) is given as
(y - y0) = m (x -x0)
So, here the equation of line with (4, -5) is
or, 3y + 15 + x-4 = 0
or, x + 3y + 11 = 0
⇒ x + 3y + 11 = 0 is the required equation.
Answer: 1:3
Step-by-step explanation:
2 Days = 48 hours
16 : 48 hours
1:3