Answer:
x= negative 1 and 2/5 y=1 and 3/5
Step-by-step explanation:
1. Start by putting both equations into slope-intercept form. (y=mx+b)
-3x+3y=9
-3x+3x+3y=9+3x
3y=9+3x
3y/3=9+3x/3
y=3+x
2x-7y=-14
2x-2x-7y=-14-2x
-7y=-14-2x
-7y/-7=-14/-7-2x/-7
y=2+2/7x
2. Graph the equations and find where they intercept.
Answer:
y = 1/6x -4
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
m=(-5 - -3)/( -6 -6)
= (-5+3)/ (-6-6)
= -2/-12
= 1/6
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 1/6 x +b
Substitute a point into the equation
-5 = 1/6(-6) +b
-5 = -1+b
Add 1 to each side
-4 = b
y = 1/6x -4
Answer:
Using the slope-intercept form, the slope is 3 .
Step-by-step explanation:
Part A:
We need to divide
5 ÷ 2/3
5/1 ÷ 2/3
5/1 * 3/2
15/2 or 7 1/2 plates of nachos.
Part B:
If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.
ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates
6 - 5 = 1 more cup of cheese she needs to make 9 plates
Best of Luck!
