Quiz about 4.2 & 4.3 Review

Question 1

(LT 4.2) Solve the following system using substitution:

x+3y=8

y=-2x+10

Accepted Answer

( $$\frac{22}{5},\ \frac{6}{5}$$ )

Answer

( $$\frac{6}{5},\ \frac{22}{5}$$ )

Answer

(5, 22)

Answer

( $$\frac{5}{22},\ 6$$ )

Question 2

(LT 4.2) Solve the following system using substitution.

y = $$\frac{1}{3}$$ x + 2

-2x + 3y = 9

Accepted Answer

(-3,1)

Answer

(1, -3)

Answer

(-1, 3)

Answer

(3, -1)

Question 3

(LT 4.2) Solve the system of equations.

2x-8y=2

6x-8y= -3

Accepted Answer

( $$-\frac{5}{4},\ -\frac{9}{16}$$ )

Answer

( $$-\frac{9}{16},\ -\frac{4}{5}$$ )

Answer

( $$-\frac{9}{16},\ -\frac{5}{4}$$ )

Answer

(-5,-9)

Question 4

(LT 4.2) Solve the system of equations.

2x=-y+4

x-2y=12

Accepted Answer

(4, -4)

Answer

(-4,-4)

Answer

(-4, 4)

Answer

(4, 4)

Question 5

(LT 4.3) Solve the system using elimination:

3x + y = 6

4x + y = 8

Accepted Answer

(2, 0)

Answer

(-2, 0)

Answer

No Solution

Answer

(0, 2)

Question 6

(LT 4.3) Solve the system using elimination:

- x+6y = 13

4x + 6y = -54

Accepted Answer

( $$-\frac{67}{5},\ -\frac{1}{15}$$ )

Answer

( $$\frac{67}{5},\ \frac{1}{15}$$ )

Answer

( $$\frac{1}{15},\ \frac{67}{5}$$ )

Answer

( $$-\frac{1}{15},\ -\frac{67}{5}$$ )

Question 7

(LT 4.3) Solve the system of equations using elimination:

3x - y = 22

2x + y =16

Accepted Answer

( $$\frac{38}{5},\ \frac{4}{5}$$ )

Answer

( $$-\frac{4}{5},\ -\frac{38}{5}$$ )

Answer

( $$-\frac{38}{5},\ -\frac{4}{5}$$ )

Answer

( $$\frac{4}{5},\ \frac{38}{5}$$ )

Question 8

(LT 4.3) Solve the system of equations using the elimination method.

4x - 6y = 12

-8x + 8y = 16

Accepted Answer

(-12, -10)

Answer

(12, 10)

Answer

(-10, -12)

Answer

(10, 12)

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