Answer:
1. Multiply each expression by a number to make a variable cancel out. The numbers can be different:
1(2x + 5y = 10)
5(x-y = -9)
Use the distributive property, then add the expressions together.
2x + 5y = 10
5x - 5y = -45
7x = -35
x = -5
2. Solve the inequality as if there was an equal sign.
-9x -6 < 3 - 2x
-7x < 9
Flip the inequality sign around if you have to multiply/divide by a negative number.
x > -1.2857...
3. Find the y-intercept and slope of each line. If the line is shaded below, it is <. If it is shaded above, it is >.
blue line: y < -0.5x - 3
red line: y > -1.5x -5