Pointing Value p Out

Question

Find the value of p that makes the linear graph y = p − 3x pass through the point where the lines 4x−y = 6 and 2x−5y = 12 intersect.

Answer 1

First, find the intersection, using the 2 given equations:

4x - y = 6 eqn 1

2x - 5y = 12 eqn 2

multiply eqn 2 by 2 to get:

4x - 10y = 24

subtract eqn 1 to get:

-9y = 18

So: y = -2

sub in eqn 1 to get:

4x + 2 = 6

solve to get x = 1

Now that you have the x and y coordinates, plug these into y = p − 3x, and find the value of p

When you're done, graph everything to check the answers