Question

y = 3x + 3
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

Any ideas?

Answer 2

Do you know what the substitution method is?

Answer 3

and not to forget...


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Answer 4

just flip it to the other side
y=3x+3 becomes y-3/3=x
and
y=x-1 becomes y+1=x

Answer 5

thanksss

Answer 6

y = 3x + 3......so now we substitute 3x + 3 in for y in the other equation

y = x - 1
3x + 3 = x - 1 --- subtract x from both sides
3x - x + 3 = x - x - 1 -- combine like terms
2x + 3 = -1 --- subtract 3 from both sides
2x + 3 - 3 = -1 - 3 -- combine like terms
2x = -4 -- divide both sides by 2
2/2x = -4/2
x = -2

now we sub in -2 for x in either of the original equations to find y
y = 3x + 3
y = 3(-2) + 3
y = -6 + 3
y = -3

now we check..
y = x - 1
-3 = -2 -1
-3 = -3 (correct)

so your solution is : (-2,-3)