Algebra: Systems of Equations (Elimination)

1. If point $(x,y)$ is the intersection of line $y=2x+2$ and line $3x+2y=4$, what is the value of $y$?

1. 0
2. 2
3. -2
4. -4

$$\eqalign{4a+2b&=14\\a+3b&=6}$$

2. If point $(a,b)$ is the solution to the system of equations above, what is $ab$?

1. 1
2. 2
3. 3
4. 4

3. One line has a slope of 3 and passes through point (0,1).  Another line passes through points (3,4) and (5,6). If the points intersect at point $(b,c)$, what is $b+c$?

1. $\dfrac{3}{4}$
2. $-\dfrac{13}{4}$
3. $-\dfrac{10}{4}$
4. $1$

4. One line has a slope of -2 and passes through the origin.  Another line passes through points (0,0) and (12,1). If the points intersect at point $(x,y)$, what is $xy$?

1. 0
2. -2
3. 11
4. 12