Answer:
1. y=5 and x=-5
2. y=2 and x=-4
Step-by-step explanation:
1.y=-5x-19
y=-6x-24
since both equations are equal to y, they are also equal to eachother
-5x-19=-6x-24
addition P.O.E.
x-19=-24
addition P.O.E.
x=-5
substitute x into one equation
y=-5*-5-19
y=6
2. y=-6x-22
y=-3x-10
since both equations are equal to y, they are also equal to eachother
-6x-22=-3x-10
addition P.O.E.
-22=3x-10
addition P.O.E.
-12=3x
division P.O.E.
-4=x
substitute x into one equation
y=-3*-4-10
y=2
The initial value equation is 
<h3>How to solve the initial value?</h3>
The equation is given as:
Where
Y(0) = 1
Subtract 2y from both sides in the equation
Rewrite as:
Integrate both sides of the equation
Multiply through by -2
Take the exponent of both sides
Next, we solve for C under the initial condition Y(0) = 1.
This gives
Evaluate
-2 + 3 = C
Solve for C
C = 1
Substitute C = 1 in
Next, we solve for y
Hence, the initial value equation is
Read more about initial value at:
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Answer:
n = -20
Step-by-step explanation:
Subtract 34 on both sides of the equation:
n = 14 - 34
n = -20
Hope this helps!
Answer:
y=5x+3
Step-by-step explanation:
Hi there!
We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
Since we're already given the slope, we can substitute that immediately into the equation
here it is so far:
y=5x+b
now we need to solve for b
Since the line will pass through the point (-1,-2), we can use it to solve for b
substitute -1 as x and -2 as y into the equation
-2=5(-1)+b
multiply
-2=-5+b
add 5 to both sides
3=b
substitute that into the equation
therefore, the equation of the line is <u>y=5x+3</u>
Hope this helps! :)
