Question

Solve the system of linear equations.

1. y= 2x - 5

y= 2x + 7

2. 3x + 4y = -10

y= -3/4x - 5/2

Answer 1

1. No solution

2. Infinite solutions

Explanation:

1. To solve the system, set the equations equal to each other and solve for x.

2x - 5 = 2x + 7

-5 = 7

This is a false statement. This means there is no solution.

2. To solve the system, graph each equation.

y = -3/4 x - 5/2 has a y-intercept -5/2 and slope -3/4.

3x + 4y = -10 converts to y = -3/4x -5/2.

This graphs as the exact same line. This system has infinite solutions.