Answer:
x=9 and y=3
Step-by-step explanation:
Let's solve your system by substitution.
−4x+6y=−18 and y=−2x+21
Rewrite equations:
y=−2x+21;−4x+6y=−18
Step: Solve y=−2x+21for y:
y=−2x+21
Step: Substitute−2x+21foryin−4x+6y=−18:
−4x+6y=−18
−4x+6(−2x+21)=−18
−16x+126=−18(Simplify both sides of the equation)
−16x+126+−126=−18+−126(Add -126 to both sides)
−16x=−144
−16x
−16
=
−144
−16
(Divide both sides by -16)
x=9
Step: Substitute9forxiny=−2x+21:
y=−2x+21
y=(−2)(9)+21
y=3(Simplify both sides of the equation)
Answer:
x=9 and y=3
Answer:
Joey has 18 nickles and 27 dimes in his piggy bank.
Step-by-step explanation:
1 nickle = 5 cents
1 dime = 10 cents
$1 = 100 cents
$3.15 = 135 cents
Let
n represent the number of nickles, n>=0
d represent the number of dimes, d>=0
Joey counted a total of 45 coins that added up to $3.15:
n + d = 45
5n + 10d = 315
n = 18 nickles
d = 27 dimes
Answer:
We are given the lengths of the two segments of the line. Using the addition postulate we can obtain the segment of the entire line.
Did you draw out the diagram. We know that the three points are collinear.
Hope this helps
Step-by-step explanation:
Answer:
X=12 and z=109
Step-by-step explanation:
z has the same degree measure as the Angle across from it of 109 degrees.
to solve for x we first have to subtract 109 from 180 since it’s a straight angle to get 71. then we solve for the equation 8x-25 = 71, adding 25 to both sides, 8x=96, dividing 8 by both sides, to get x=12
<h3>Check the possibilities:</h3><h2>A:</h2>
u(n)=n-1
u(6)=6-1= True
u(10)=10-1≠7 False
<h3>
A is eliminated.</h3>
<h2>
B:</h2>
u(n)=2n-7
u(6)=2(6)-7=12-7=5 True
u(10)=2(10)-7=20-7≠7 False
<h3>
B is eliminated.</h3>
<h2>
C:</h2>
u(n)=0.5n+2
u(6)=0.5(6)+2=3+2=5 True
u(10)=0.5(10)+2=5+2=7 True
<h2>
C is your answer.</h2>
<h3>
Check D although we know it's C:</h3>
u(n)=n/6 +4
u(6)=6/6 +4=1+4=5 True
u(10)=10/6 +4=2.5+4=6.5≠7 False
