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4 cards from this section. Quick, good the night before a test.
Solve using substitution: 𝑥 + 𝑦 = 7, 2𝑥 - 𝑦 = 4
Rearrange one equation for a variable and substitute it.
Identify the type of solution for: 𝑦 = 3, 𝑦 = 2.
Look for matching slopes in the equations.
What must be true for a system of simultaneous equations to have a unique solution?
Think about the graphical interpretation of equations.
True or False: If two equations are identical, they have no solution.
Consider what it means for equations to match.
Two swimmers leave the same point at the same time. Swimmer A swims at 3 meters per second, while Swimmer B at 5 meters per second. Form the equations representing their distances over time and find when they are 20 meters apart.
Construct distances from the speed and time, then set up your equation.
A restaurant sells two types of sandwiches, plus and deluxe. The plus costs $5 and the deluxe $7. If they sell 20 sandwiches netting $120, and 10 plus sandwiches netting $60, find the number of each sold.
Use the total sandwich count and total revenue to create your equations.
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