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nika2105 [10]
4 years ago
11

Solve using subsitution2x + 3y = 10 y = -x + 3​

Mathematics
1 answer:
gayaneshka [121]4 years ago
3 0

2x + 3y = 10

y = -x + 3​ (plug -x+3 for y in the first equation because -x+3=y)

2x+3(-x+3)=10

2x+(-3x)+9=10

-x=1

x=-1

To find y, plug in -1 for x into any of the equations.  I will pick the second equation because it is easier.

y = -(-1) + 3

y=4

answer: x=-1, y=4, intersection point: (-1,4)​

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A change purse contains an equal number of pennies, nickels, and dimes. the total value of the coins is 512 cents. how many coin
sammy [17]

Let

x---------> the total number of coins

we know that

512 cents-------> is equal to $5.12

1 penny is equal to $0.01

1 nickel is equal to 5 penny--------> $0.05

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\frac{x}{3}*0.01+ \frac{x}{3}*0.05+\frac{x}{3}*0.10=5.12

\frac{x}{3}*[0.01+0.05+0.1]=5.12 \\\\x*[0.16]=15.36 \\\\ x=\frac{15.36}{0.16} \\\\x= 96\ coins

the total number of coins are 96

Divide 96 by 3 to obtain the number of coins of each type

therefore

<u>the answer is</u>

the number of penny coins are 32

the number of nickel coins are 32

the number of dimes coins are 32


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The greatest common factor and factoring by grouping of the following is;

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<h3>Greatest common factor</h3>

The greatest common factor is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

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Learn more about greatest common factor:

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