# Solve the system of equations 2x-3y = 11 3x + y = 2

September 29, 2021 | education

| {2 * x – 3 * y = 11;

{3 * x + y = 2;

Let’s solve the system by the addition method. Multiply the second equation by 3.

{2 * x – 3 * y = 11;

{9 * x + 3 * y = 6;

Let’s add the first equation to the second.

2 * x – 3 * y + 9 * x + 3 * y = 11 + 6;

11 * x = 17;

X = 17/11 = 1 (6/11).

Substitute the X value in the first equation.

(2 * 17/11) – 3 * y = 11;

3 * y = 34/11 – 121/11 = 87/11;

Y = 29/11 = 2 (7/11).

Answer: (1 (6/11); 2 (7/11)).

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