Week 14 TEST(8th): Sys of EQs-Sub&Elim

Front

What is the x-intercept of the equation 2x + 3y = 12?

Back

The x-intercept is the point where the graph crosses the x-axis. For the equation 2x + 3y = 12, the x-intercept is 6.

Front

What does it mean when two lines intersect on a graph?

Back

When two lines intersect, it means they have one solution in common, which is the point where they cross.

Front

How do you solve a system of equations by substitution?

Back

To solve by substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is the solution to the system of equations 5x + 4y = -14 and y = -7x - 15?

Back

The solution is (-2, -1).

Front

What is the best method for solving the system of equations -2x + 6y = 16 and -4x - 3y = 2?

Back

The best method is elimination.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How can you find the y-intercept of an equation?

Back

To find the y-intercept, set x to 0 and solve for y.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation shows the lines of the equations on a coordinate plane, where their intersections represent the solutions.