Question

activity 1: diego solving cont. here are diegos other steps taken: 4x + 3(2) = 10 4x + 6 = 10 4x = 4 x = 1 1. make sense of diegos work and discuss with a partner: a. what did diego do to solve the system?

Explanation:

1. Diego first substituted a known value of \(y=2\) into the linear equation \(4x + 3y = 10\), resulting in \(4x + 3(2) = 10\).
2. He simplified the left side by calculating \(3(2)=6\), getting \(4x + 6 = 10\).
3. He isolated the term with \(x\) by subtracting 6 from both sides: \(4x = 10 - 6 = 4\).
4. Finally, he solved for \(x\) by dividing both sides by 4: \(x = \frac{4}{4} = 1\).

Answer:

Diego used the substitution method to solve the system of equations. He substituted \(y=2\) into the equation \(4x + 3y = 10\), then simplified to solve for \(x\).