Question

practice #2: solution to a system of equations
evaluate if each given solution is correct for each system of equations. show your work for each.
explain your reasoning.

1. \ty = -3x + 4\t\t\tsolution? ( 1 , 1 )

\ty = 3x - 2

Explanation:

Step1: Check first equation

Substitute \( x = 1 \), \( y = 1 \) into \( y=-3x + 4 \).
Left - hand side (LHS) \(= y = 1\), Right - hand side (RHS) \(=-3(1)+4=-3 + 4 = 1\).
Since \( \text{LHS}=\text{RHS} \), the point satisfies the first equation.

Step2: Check second equation

Substitute \( x = 1 \), \( y = 1 \) into \( y = 3x-2 \).
LHS \(= y = 1\), RHS \(=3(1)-2=3 - 2 = 1\).
Since \( \text{LHS}=\text{RHS} \), the point satisfies the second equation.

Answer:

The solution \((1,1)\) is correct for the given system of equations.