Proving a Coordinate Is a Solution to a System

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Is the points (-4, 4) a solution to the system of equations?

• Yes

• No

Is the point (2, -1) a solution to the systems of equations below?

• Yes

• No

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

Identify the solution for the system of equations.

• (1, -2)

• (-1, 2)

• (-1, -2)

• (1, 2)

Identify the solution for the system of equations.

• (3, 1)

• (1, 3)

• (-1, -3)

• (-3, -1)

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

Is (1,7) a solution for

y=3x+4

y=x+6

• yes

• no