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Anna007 [38]
4 years ago
6

X + y = 3 3x + 2y = 14

Mathematics
1 answer:
d1i1m1o1n [39]4 years ago
3 0

<em><u>The solution is x = 8 and y = -5</u></em>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

x + y = 3 ------ eqn 1

3x + 2y = 14 ------ eqn 2

We have to find the solution to the equations

We can use substitution method to solve

From eqn 1,

x + y = 3

Isolate for "x"

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

<em><u>Substitute eqn 3 in eqn 2</u></em>

3(3 - y) + 2y = 14

9 - 3y + 2y = 14

-y = 14 - 9

-y = 5

<h3>y = -5</h3>

<em><u>Substitute y = -5 in eqn 3</u></em>

x = 3 - (-5)

x = 3 + 5 = 8

<h3>x = 8</h3>

Thus the solution is x = 8 and y = -5

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