1x + 4y = 11 ⇒ 5x + 20y = 55
5x - 7y = -10 ⇒ <u>5x - 7y = -10</u>
<u>27y</u> = <u>65</u>
27 27
y = 2¹¹/₂₇
x + 4(2¹¹/₂₇) = 11
x + 8²²/₂₇ = 11
<u> - 8²²/₂₇ - 8²²/₂₇
</u> x = 2⁵/₂₇
(x, y) = (2⁵/₂₇, 2¹¹/₂₇)
1)solve for y.
4x+y=7
Add -4x to both sides.
4x+y+−4x=7+−4x
y=−4x+7
2) solve for y.
y−5x=9
Add 5x to both sides.
−5x+y+5x=9+5x
y=5x+9
3) solve for y.
3y−15x=12
Add 15x to both sides.
−15x+3y+15x=12+15x
3y=15x+12
Divide both sides by 3.
3y/3=15x+12/3
y=5x+4
4) solve for y.
8x+2y=18
Add -8x to both sides.
8x+2y+−8x=18+−8x
2y=−8x+18
Divide both sides by 2.
2y/2=−8x+18/2
y=−4x+9
5 ) solve for y.
7x−y=35
Add -7x to both sides.
7x−y+−7x=35+−7x
−y=−7x+35
Divide both sides by -1.
−y/−1=−7x+35/−1
y=7x−35
6) solve for y.
4x+1=9+4y
Flip the equation.
4y+9=4x+1
Add -9 to both sides.
4y+9+−9=4x+1+−9
4y=4x−8
Divide both sides by 4.
4y/4=4x−8/4
y=x−2
7) solve for x.
y=5x−2x
Flip the equation.
3x=y
Divide both sides by 3.
3x/3=y/3
x=1/3y
8) solve for x.
r=x+9x
Flip the equation.
10x=r
Divide both sides by 10.
10x/10=r/10
x=1/10r
9) solve for x.
b=3x+9xy
Flip the equation.
9xy+3x=b
Factor out variable x.
x(9y+3)=b
Divide both sides by 9y+3.
x(9y+3)/9y+3=b/9y+3
x=b/9y+3
10) solve for x.
w=2hx−11x
Flip the equation.
2hx−11x=w
Factor out variable x.
x(2h−11)=w
Divide both sides by 2h-11.
x(2h−11)/2h−11 = w/2h−11
x=w/2h−11
11) solve for x.
p=4x+qx−5
Flip the equation.
qx+4x−5=p
Add 5 to both sides.
qx+4x−5+5=p+5
qx+4x=p+5
Factor out variable x.
x(q+4)=p+5
Divide both sides by q+4.
x(q+4)/q+4=p+5/q+4
x=p+5 / q+4
12) solve for x.
m=9+3x−dx
Flip the equation.
−dx+3x+9=m
Add -9 to both sides.
−dx+3x+9+−9=m+−9
−dx+3x=m−9
Factor out variable x.
x(−d+3)=m−9
Divide both sides by -d+3.
x(−d+3)/−d+3=m−9/−d+3
x=m−9/−d+3
A. See the picture for steps
Answer:
Step-by-step explanation:
b + n = 192
n = 5b
b + 5b = 192
6b = 192
b = 192/6
b = 32 <==== 5 beads per bracelet
n = 5b
n = 5(32)
n = 160 <==== 160 beads per necklace
Answer:
0.05
Step-by-step explanation:
We know that the number of marbles is represented by n. We also know that as the number of marbles increases, the volume of water W(n) decreases, since 0.05n is subtracted.
Since 0.05n is subtracted from 32, then 32 must be the original amount of water used if there are no marbles.
Since the amount of water decreases by 0.05 times the number of marbles, the volume of each marble must be 0.05.
