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Komok [63]
10 months ago
11

Solve the system by substitution. 4x+3y=5x=4y+6Options: A. The solution is ____B. There are infinitely many solutions. C. There

is no solution
Mathematics
1 answer:
zvonat [6]10 months ago
5 0

So we have the following system of equations:

\begin{gathered} 4x+3y=5 \\ x=4y+6 \end{gathered}

We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:

\begin{gathered} 4x+3y=5 \\ 4\cdot(4y+6)+3y=5 \\ 16y+24+3y=5 \\ 16y+3y=5-24 \\ 19y=-19 \\ y=-\frac{19}{19}=-1 \end{gathered}

So y=-1. If we use this value in the second equation:

\begin{gathered} x=4y+6 \\ x=4\cdot(-1)+6 \\ x=-4+6 \\ x=2 \end{gathered}

So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).

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An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Ro
mariarad [96]
Length of a circle=2πr
r=40 m
Length of the circular track=2*π*40m=80π m.

The athelete jogs each day 10 laps
1 lap-------------------80π m
10 laps-------------   x
x=(10 laps * 80π m) / 1 lap=800π m

Calculate how far he jog eache week (5 days).
1 day------------------800π m
5 days----------------   x
x=(5 days*800π m)/1day=4000π m=4000m * 3.141592...≈12566,37 m

solution: 12566 m

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3 years ago
the building manager put new door knobs on 4 doors in each apartment there are 3 apartments on each floor and 3 floors in the ap
barxatty [35]
(4) x (3) x (3)= (12) x (3)= 36
6 0
3 years ago
What times 3 equal 19?
Gnesinka [82]

Answer:

6.3333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

19/3=6.3333333333333333333333333

6 0
3 years ago
Read 2 more answers
Simplify the polynomial. Then find its value for the given value of the variable.
vekshin1

Answer:

Step-by-step explanation:

Simplified expression:

3x^3 -x^3 +5x^3-9x^3

2x^3 +5x^3-9x^3

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If x = -1, the value of the expression is:

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2

Hope this helps!

3 0
2 years ago
Can someone pls help me...
joja [24]
It is not a function and that is becuase a vertical line would pass through it twice
5 0
2 years ago
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