Answer:
3/10 ÷ 7/9 = 3/10 • 9/7
Step-by-step explanation:
KCF for division.
7/9= 9/7
÷=x
Answer:
1/72
Step-by-step explanation:
2^-3 = 1/2^3 = 1/8
3^-2 = 1/3^2 = 1/9
1/8 x 1/9 = 1/72
Input 3y+11 for x
2(3y+11)-3y=16
6y+22-3y=16
3y= -6
Divide by 3 to isolate y
y=-2
Now for x....
x=3(-2)+11
=-6+11
=5
x=5
Coordinates (5,-2)
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
