We are asked to solve the system of equations: $3x - 2y = 2$ $3y = 12$

AlgebraSystems of EquationsLinear EquationsSolving EquationsSubstitution
2025/3/21

1. Problem Description

We are asked to solve the system of equations:
3x2y=23x - 2y = 2
3y=123y = 12

2. Solution Steps

First, we can solve the second equation for yy:
3y=123y = 12
y=123y = \frac{12}{3}
y=4y = 4
Now, substitute the value of yy into the first equation:
3x2y=23x - 2y = 2
3x2(4)=23x - 2(4) = 2
3x8=23x - 8 = 2
3x=2+83x = 2 + 8
3x=103x = 10
x=103x = \frac{10}{3}
Thus, the solution to the system of equations is x=103x = \frac{10}{3} and y=4y = 4.

3. Final Answer

The solution to the system of equations is (103,4)\left(\frac{10}{3}, 4\right).
The answer is (A).

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