Question 3

(05.01)

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 4

(05.01)

the graph of a system of equations will intersect at more than 1 point.

always

sometimes

never

1) Question 3

The system

y = 3.5x - 3.5

y = -3.5x +3.5

has one solution.

To find it, you can add the two equations:

2y = 0 => y =0

Now replace that value in any of the two original equations.

Doing it with the first of the equations:

=> 3.5x - 3.5 = 0=> 3.5x = 3.5 = x = 3.5 / 3.5 = 1

Solution (1,0)

one solution.

2) Question 4

The graph of a system of equations will intersect at more than 1 point.

Some times:

For example:

y = x + 2
2y = 2x + 4
Intersects in infinite points.

y = x + 2
y = x + 3
will not intersect

y = 2x
y = x+1
will intersect at one point.

And a system with a quadratic equation and a  linear equation may drive to intersection in two points.

107

Step-by-step explanation:

Plug in 11 for a, and 8 for b.

a + ab + b

(11) + (11 * 8) + (8)

Remember to follow PEMDAS. First multiply, then combine terms:

11 + (11 * 8) + 8

11 + (88) + 8

99 + 8

107

107 is your answer.

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