y = -5x + 24
y = 4x - 21
Since both of these equations are equal to Y, theyre equal to each other.
So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.
-5x + 24 = 4x - 21
Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:
-5x + 24 - 24 = 4x - 21 - 24
-5x = 4x - 45
Now we subtract 4x from both sides so the 4x shift to the other side
-5x - 4x = 4x - 4x - 45
-9x = -45
Finally divide both sides by -9 so x is by itself
(-9)÷(-9x) = -(45)÷(-9)
x = 5
Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.
Now apply x = 5 to either of the initial equations to find the value of Y
y = -5x + 24 or y = 4x - 21
(I'll do both but u only need one)
y = -5(5) + 24
y = -25 + 24
y = -1
y = 4(5) - 21
y = 20 - 21
y = -1
Either way, X is 5 and Y is -1
Answer (5, -1)
Slope intercept form is y=mx+b because m=slope and b=y-intercept hence "slope intercept form"...
m=deltay/deltax=(0-5)/(-9--6)=-5/-3=5/3 so far we have now:
y=5x/3 +b, using any point, I'll use (-9,0) we can now solve for b or the y-intercept...
0=-9(5)/3 +b
0=-15+b, so b=15 and our line is:
y=5x/3 + 15 or more neatly
y=(5x+45)/3
Answer:
160,160
Step-by-step explanation:
let the first page be X
second one be x+1
x+x+1=321
2x=320
x= 320÷2=160
pages 160 161
Answer:
y=3/2x-7
Step-by-step explanation:
the equation of the line for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
we are given two points: (4,-1) and (8,5)
the equation for slope is (y2-y1)/(x2-x1)
label the points:
x1=4
y1=-1
x2=8
y2=5
now substitute into the equation:
m=(5--1)/(8-4)
m=6/4
m=3/2
the slope of the line is 3/2
here is our equation so far:
y=3/2x+b
we need to find b
since the equation will pass through the points, we can substitute either one into the equation to find b
let's use (4,-1) as an example
substitute into the equation
-1=3/2(4)+b
-1=6+b
-7=b
the y intercept is -7
so the equation is y=3/2x-7
hope this helps!
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.
ly/3a8Nt8n
