How many solutions will this system of equations have? y = 3.5x − 3.5 y = −3.5x + 3.5 No solution Infinite solutions One solution Two solutions\

Question

asked Feb 16, 2017 59.1k views

2 Answers

Tinus Tate · Answer 1 · 2017-02-19T05:43:13+0000

this would actually have some solutions because

y=3.5x−3.5

Step: Substitute 3.5x−3.5 for y in y=−3.5x+3.5:

y=−3.5x+3.5

3.5x−3.5=−3.5x+3.5

3.5x−3.5+3.5x=−3.5x+3.5+3.5x(Add 3.5x to both sides)

7x−3.5=3.5

7x−3.5+3.5=3.5+3.5(Add 3.5 to both sides)

7x=7

7x

7

=

7

(Divide both sides by 7)

x=1

Step: Substitute 1 for x in y=3.5x−3.5:

y=3.5x−3.5

y=(3.5)(1)−3.5

y=0(Simplify both sides of the equation)

x=1 and y=0