Solving Equations with Substitution

What is the first step in solving equations using substitution?

• Solve both equations simultaneously.

• Choose the easier equation to solve for one variable.

• Use a calculator to find the solution.

• Graph the equations to find the intersection.

When substituting y = 6x - 7 into the second equation, what does y represent?

• The expression 6x - 7.

• The y-intercept of the graph.

• A constant value.

• The x-coordinate of the intersection.

Why is it important to use brackets when substituting expressions?

• To ensure the expression is treated as a single unit.

• To separate different variables.

• To make the equation look neat.

• To avoid using a calculator.

After finding x = 7, what should be done next?

• Use a different method to verify x.

• Check the solution by graphing.

• Substitute x back into the second equation.

• Solve for y using the original equation.

What is the final coordinate point where the two equations intersect?

• (6, 42)

• (7, 35)

• (7, 42)

• (6, 35)