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charle [14.2K]
3 years ago
10

Solve the system using the substitution method 3x-y=4 5x+3y=9

Mathematics
1 answer:
rjkz [21]3 years ago
5 0
First solve the first equation for 'y'
3x - y = 4  subtract 3x from both sides
-y = -3x + 4  divide both sides by -1
y = 3x - 4   Now take this equation and substitute into the second equation:

5x + 3y = 9
5x + 3(3x - 4) = 9
5x + 9x - 12 = 9
14x - 12 = 9
14x = 9 + 12
14x = 21
x = \frac{21}{14} =  \frac{3}{2} or 1.5
Now substitute this value for 'x' into either of the first two equations to find 'y'
I'll use the equation 
y = 3x - 4
y = 3(1.5) - 4
y = 0.5

So your solution is (1.5, 0.5)

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There are 75 silver beads and 15 gold beads in each package of beads. What is the unit rate in silver beads per gold bead?
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8 0
3 years ago
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Complete the steps 4/9 divided by 1/2
DedPeter [7]

Answer: 0.88 (the 8 recurs)

Step-by-step explanation:

\frac{4}{9}÷\frac{1}{2}

\frac{4}{9}×\frac{2}{1}  (Then the the fraction should reciprocal so the values should shift to          the opposite side were 2 goes up and 1 goes down and the sign turns to the multiplication sign)

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4 0
2 years ago
without building a model tell whether a long row of 8 cubes or a cube made from 8 would have a greater volume. explain
Viktor [21]
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7 0
3 years ago
NEED HELP I WILL MARK BRAINLIST AND DO NOT SPAM
gavmur [86]

Answer: it will take 14 years

Step-by-step explanation:

A savings account is started with an initial deposit of $600. This means that the principal P is

P = 600

It was compounded annually. This means that it was compounded once in a year. Therefore,

n = 1

The rate at which the principal was compounded is 2.1%. So

r = 2.1/100 = 0.021

The duration of time that for which the money stayed in the account is t years. So

Time = t

The formula for compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years. Therefore,

a) the equation to represent the amount of money in the account as a function of time in years would be

A = 600 (1+0.021/1)^1×t

A = 600 (1.021)^t

b) the amount of time it takes for the account balance to reach $800 would be

800 = 600 (1.021)^t

Dividing both sides of the equation by 600, it becomes

1.33 = (1.021)^t

t = 14

7 0
3 years ago
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