Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!
Answer:
Person A made 108 cupcakes and person B made 60 cupcakes.
Step-by-step explanation:
Person A makes 1 cupcake in 5 minutes.
Say in x minutes A makes : cupcakes
Person B makes 1 cupcake in 9 minutes.
Say in x minutes B makes : cupcakes
Total cupcakes prepared by A and B in x minutes = 168
So, cupcakes made by A =
Cupcakes made by B =
Person A made 108 cupcakes and person B made 60 cupcakes.
9514 1404 393
Answer:
y = -3/8x -23/8
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -(-1))/(3 -(-5)) = -3/8
Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For m = -3/8 and (h, k) = (-5, -1), the line is ...
y +1 = -3/8(x +5)
In slope-intercept form, this is ...
y = -3/8x -23/8
