3x+4y=5 2x-5y=8 Is this consistent and independent, consistent and dependent, or inconsistent
Answers
Answer 1
Answer:
3x + 4y = 5 2x - 5y = 8
To answer this question, we need to put both of these equations into Slope-Intercept form, or in other words, solve for y.
3x + 4y = 5 Subtract 3x from both sides 4y = -3x + 5 Divide both sides by 4 y = +
2x - 5y = 8 Subtract 2x from both sides -5y = -2x + 8 Divide both sides by -5 y = -
When you look at the two equations, you can see that their slopes are completely different, so they aren't parallel, or inconsistent. Since is not the same as , they aren't the same line, or dependent. So, the only option left is that they are consistent and independent.