extreme help with this?

Question

1.The following 2 lines intersect at point P:

4x-3y=6
4x-y=10

What are the coordinates of the point P?

A.(-2, -3)
B.(2, -3)
C.(-3,2)
D.(3,2)




2.What is the acute angle between the two lines mentioned in question 1?

A.22 * 50
B.157 * 10
C. 51 * 13
D. 128 * 47

Answer 1

okay use substitutions

4x-3y=6
4x=3y+6
x=(3/4)y+1.5

so... to the second equation

4((3/4)y+1.5))-y=10
3y+6-y=10
2y+6=10
2y=4
y=2

now plug this into any equation to get x

4x-3(2)=6
4x-6=6
4x=12
x=3

(x,y)=(3,2) CHOICE D

Answer 2

1. I would multiply the second equation by -1 and use elimination:

4x - 3y = 6
-4x+y = -10

-2y = -4, so y = 2. Then 4x - 2 = 10, so x = 3. (3,2) ... D

2. Well, A and C are the only acute angles. Graphing the lines, the angle between them looks quite small, so I would guess A.