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What is the value of the y-coordinate of the solution to the system of equations x+2y=9 and x-y=3

User Ilovefigs
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1 Answer

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The value of the y-coordinate is 2

Solution:

The system of equations given are:

x + 2y = 9 ------ eqn 1

x - y = 3 ------ eqn 2

To find: value of y - coordinate

We can solve the above system of equations by substitution method

From eqn 2,

x = 3 + y ------ eqn 3

Substitute eqn 3 in eqn 1

3 + y + 2y = 9

Combine the like terms

3 + 3y = 9

3y = 9 - 3

On solving,

3y = 6

y = 2

Thus the value of the y-coordinate is 2

User Flanker
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