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Solving a system of equations by SUBSTITUTION

Solving a system of equations by SUBSTITUTION. Pick the easier equation. The goal is to get y= ; x= ; a= ; etc. Step 1 : Solve an equation for one variable. Step 2 : Substitute. Put the equation solved in Step 1 into the other equation. Step 3 : Solve the equation.

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Solving a system of equations by SUBSTITUTION

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  1. Solving a system of equations by SUBSTITUTION Pick the easier equation. The goal is to get y= ; x= ; a= ; etc. Step 1: Solve an equation for one variable. Step 2: Substitute Put the equation solved in Step 1 into the other equation. Step 3: Solve the equation. Get the variable by itself. Step 4: Plug back in to find the other variable. Substitute the value of the variable into the equation. Step 5: Check your solution. Substitute your ordered pair into BOTH equations.

  2. 1) Solve the system using substitution x + y = 5 y = 3 + x Step 1: Solve an equation for one variable. The second equation is already solved for y! Step 2: Substitute x + y = 5x + (3 + x) = 5 2x + 3 = 5 2x = 2 x = 1 Step 3: Solve the equation.

  3. 1) Solve the system using substitution x + y = 5 y = 3 + x x + y = 5 (1) + y = 5 y = 4 Step 4: Plug back in to find the other variable. (1, 4) (1) + (4) = 5 (4) = 3 + (1) Step 5: Check your solution. The solution is (1, 4). What do you think the answer would be if you graphed the two equations?

  4. Solve the system using substitution 3x – y = 4 x = 4y - 17

  5. Solving a system of equations by SUBSTITUTION Pick the easier equation. The goal is to get y= ; x= ; a Pick the easier equation. The goal is to get y= ; x= ; a= ; etc. Step 1: . Put the equation solved in Step 1 into the other equation Using the equation solved in Step 1 replace the variable in the other equation. Therefore you have one equation with one variable. Step 2: he variable by itself. ck the easier equation. The goal is to get y= ; x= ; a= ; etc Step 3: Get the variable by itself. . Substitute the value of the variable into the equation. Write your answer as an ordered pair (x, y). Step 4:

  6. REAL WORLD APP • You buy a total of 50 burgers and hotdogs for $90. You pay $2 per burger and $1.50 per hotdog. Write a system of equations to find the number of x burgers and y hotdogs.

  7. Solve the system by substitution _______burgers and ______hotdogs

  8. Try this: • You sell lemonade for $2 per cup and orange juice for $3 per cup. You sell a total of 100 cups for $240. Write a system of equations to find the number of xcups of lemonade and ycups of orange juice.

  9. Solve the system by substitution _______cups lemonade & ______cups orange juice

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