Solving System of Equations

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120

• 3x+3y=134
  4x+3y=120

• 4x+3y=134
  3x+3y=120

• 7xy=134
  6xy=120

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Write the inequalities represented in the picture.

• y > -2 + x
  y ≤ 2x + 2

• y > 2 + x
  y ≤ 2x + 2

• y ≥ -2 + x
  y ≤ 2x + 2

• none of these are the system

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Write the inequalities represented in the picture.

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 4

• y > 3x   and  y < -2x + 4

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

These two lines intersect at _____.

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist