Solving linear systems review

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13

Back

(1, 5)

Front

When both lines in a system are identical, the system has __________________.

Back

infinite solutions

Front

Solve for x and y: y = \frac{2}{3}x - 2 and y = -x + 3

Back

(3, 0)

Front

What is the solution to this system of equations? 2x + 3y = 6 and x - y = 1

Back

(4, -1)

Front

Back

(1, 1)

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What is the graphical representation of a system with infinite solutions?

Back

The lines overlap completely.

Front

Define a linear equation.

Back

An equation that makes a straight line when graphed.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the intersection of two lines graphically?

Back

By plotting both lines on the same graph and identifying their point of intersection.