Solve Equation in Context

Solve the system of equations:

3x + y = 1

4x + y = 2

• x = 1

• y = 4

• y = -2

• x = 0

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Which method (Substitution or Elimination) would best help you solve the following system of equations?

Evaluate responses using AI:

OFF

Solve the following system of equations with whichever method you prefer:

y = 1/2x + 4

y = -2x + 9

What is the solution to the following system of equations:

-6x + 2y = 76

3x - y = -38

Evaluate responses using AI:

OFF

Explain the concept of 'solving for a variable' in the context of literal equations.

• Multiplying the variable by a constant

• Dividing the variable by a constant

• Adding the variable to both sides of the equation

• Isolating the variable on one side of the equation

Solve the equation below. Show the steps that lead to your final solution.

Mathematical Equivalence

ON

Answer explanation

Solve the equation shown.

Show the work you do in finding your final answer on the paper provided.

Mathematical Equivalence

ON

Answer explanation

Solve the equation below. Show the steps that lead to your final solution.

Mathematical Equivalence

ON

Answer explanation

A 12 foot long ladder leans against a vertical wall such that its base is 5 feet from the bottom of the wall.

Determine to the nearest tenth of a foot, the height the ladder reaches up the wall.

Answer explanation