Systems of Equations

What is the approximate solution for the system of linear equations?

• (1, –3)

• (–3, 1.3)

• (1.3, –3)

• (–3, 1)

Which equation has infinitely many solutions?

• 5x – 5 = 11x + 2 – 1

• 4x + 5 = –4x + 5

• 3x + 4 = 3 + 3x – 1

• 3x + 2 – 2x = x + 2

Which statement about the equation is true? 5(d + 11) = 2(d – 19)

• The equation has precisely one solution.

• The equation has precisely two solutions.

• The equation has infinitely many solutions.

• The equation has no solutions.

What is the value of y in the solution to this system of equations? 3x + 2y = -12 2x + y = 4

• -36

• -12

• 4

• 20

Which equations have no real solution? Select the two correct answers.

• 3x - 5 = 3x + 5

• 3x - 5 = 3x - 5

• 3(x + 3) = 3(x - 2)

• -4(x + 3) = -5(x + 2)

• 5(x + 3) = -5(x + 2)

Which equations have infinitely many solutions? Select all that apply.

• 2x = 3x - x

• 3x = 3(2 + x)

• 4x = x + 4

• -2x = -x - 2

• x - 1 = 2x - (x + 1)

What is the meaning of the solution to this system of equations?

• Gina walks 1 mile per hour faster than Adam.

• It takes Adam 5 hours to hike from Bridgetown to Lakeville.

• At 2 hours, both Adam and Gina are 4 miles from Bridgetown.

• At 0 hours, Adam is 0 miles from Bridgetown and Gina is 10 miles.