Answer:
y = -2x+4
y = (3/2)x -3
The point of intersection is (2, 0), or x=2 and y=0.
Step-by-step explanation:
The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...
y = slope · x + (y-intercept)
y = -2x + 4
Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...
y = (3/2)x -3
The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.
Answer:
We have less than 5 /12 cups of sugar
Step-by-step explanation:
c < 5 1/2
This means we have less than 5 1/2 of something
We have less than 5 /12 cups of sugar
5x+3y=9
2x-3y=5
5x+2x=9+5
7x=14
14/7x= 2
x=2
sub it in so you get y
5(2)+3y=9
10+3y=9 (-10 to get rid of it)
3y=-1
3y/-1= - 1/3
x= 2 y= - 1/3
Answer:
3 1/2 meters
Step-by-step explanation:
A = LW
9 5/8 = L x 2 3/4
L = 9 5/8 / 2 3/4 = 77/8 / 11/4 = 77 x 4 / 8 x 11 = 7/2 = 3 1/2
