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Serga [27]
3 years ago
8

Ten times the sum of half a number and 6 is 8

Mathematics
1 answer:
vredina [299]3 years ago
3 0
Ten (10) times (multiplication) the sum (addition) of half (\frac{1}{2} a number (n) and 6 is (=) 8.

10(\frac{n}{2} + 6) = 8   Use the Distributive Property
5n + 60 = 8   Subtract 60 from both sides
5n = -52   Divide both sides by 5
n = -10 \frac{2}{5}
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In order to solve the system of linear equations, the coefficients of one of the variables must be the same number but opposite
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Answer:

Step-by-step explanation:

because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number  so that there will be at least one variable with the same number but with opposite signs.

it does not matter which variable you choose.

lets use y because 2 and 3 are smaller then 2 and 5.

so lets multiply the first equation by 2 in order to get y equal to 6.

2(2x)+2(3y)=(2)6

(do not forget to multiply what the equation is equal to also)

4x+6y=12

now for the second equation we need y to equal negative 6

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now lets put the 2 new equations next to each other and see what we can cancel out

4x+6y=12

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x=0

now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.

2(0)+3y=6

3y=6

y=2

so your answer is x=0, y=2

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