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.
+2208
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.
y = – 2x + 8 (equation 1)
y = x – 1 (equation 2)
Since (eq 2) informs us that y = x – 1,
I will substitute that for the y in (eq 1).
x – 1 = – 2x + 8
Gather the like terms. By convention, locate
variables on the left and constants on the right.
x + 2x = 8 + 1
3x = 9
x = 3
Substitute 3 for the x in one of the original equations.
y = 3 – 1
y = 2
I'll let you write the solution in (x, y) form.
.
