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Diano4ka-milaya [45]
3 years ago
5

Solve the system of linear equations by elimination. −x+3y=0 x+3y=12

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

(6,2)

Step by Step explanation:

1- Add the two equations so the Xs cancel out

2- find y by dividing 6 from both sides

3- plug in the y value in the place of the y in one of the equations

4- solve the equation to find X

5 - put answer in correct format (x,y)

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Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

Garden one has 5 times as many raspberry bushes as second garden,

So the equation will be,

x = 5y -------(1)

If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,

Therefore, (x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

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Kapil needed to buy a long wooden beam. He went to two sawmills that each charge an initial fee plus an additional fee for each
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