BOUNOMICS - SIMULTANEOUS EQUATIONS

--DEFINITION--

"To solve a system of two linear equations in two variables using the substitution method, we define one of the equations in terms of either 'x =' or 'y =', then 'substitute' that expression into the other equation."

"Let's see how this works step-by-step!"

--SUGGESTED STEPS--

(1) 3x + 2y = 8

(2) x − y = 1

Step 1: Solve one equation for one variable

This means you define one of the equations in terms fo either 'x =' or 'y =' So let's define equation (2) in terms of 'X ='

x − y = 1, becomes

x = y + 1

Step 2: 'Substitute' the equation into (1)

(3x + 2y) = 8, becomes

3(y + 1) + 2y = 8

Step 3: Simplify the equation to find the variable

3(y + 1) + 2y = 8, becomes

3y + 3 + 2y = 8

5y + 3 = 8

5y = 5

y = 1

Step 4: Subsititute variable value into (1) or (2).

Let's substitute the value of Step 3, which was y = 1 into equation (2) to work out 'y':

(2) x − y = 1, becomes

x - 1 = 1, therefore

x = 2

TASK:

You will be assigned a question to work through step-by-step and post your process on the Padlet below. You may use the example given as a guide on how to structure your answer.

--WORKSHEETS--

"Now CHOOSE 5 simultaneous equations from the worksheet below and complete in your books using the 'substitution method', and of course show your working."

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