Question

Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answer 1

{y = -2x + 8, y = x - 1} = (3, 2) OR x:3 and y:2

Explanation:

1. We are given the value of y in terms of x (an equation where the variable y is isolated).

2. Since y = x - 1, plug this into the first equation for y to start solving. (this is the value of y in terms of x)

3. x - 1 = - 2x + 8

• 3x - 1 = 8
• 3x = 9
• x = 3

4. Substitute "x" in for "y" in either equation but since the second is easier we will do that one.

• y = 3 - 1
• y = 2

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