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posledela
3 years ago
8

2x + 3y= 22 -2x +5y=-6

Mathematics
1 answer:
sasho [114]3 years ago
5 0

The solution is x = 8 and y = 2

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

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

2x + 3y = 22 -------- eqn 1

-2x + 5y = -6 ----- eqn 2

We can solve the system of equations by elimination method

<em><u>Add eqn 1 and eqn 2</u></em>

Eqn 1 + Eqn 2

2x + 3y -2x + 5y = 22 - 6

0x + 3y + 5y = 16

8y = 16

Divide both sides of equation by 8

<h3>y = 2</h3>

Substitute y = 2 in eqn 1

2x + 3(2) = 22

2x = 22 - 6

2x = 16

<h3>x = 8</h3>

Thus the solution is x = 8 and y = 2

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