The Substitution Method, Quiz

Solve by substitution:

x + 2y = 9

and

3x - y = 6

.

A

x = 1

,

y = 4

B

x = 3

,

y = 3

C

x = 5

,

y = 2

D

x = 3

,

y = 2

In solving

2x + y = 7

and

4x - 3y = -1

by substitution, which is the best first step?

A

y = 7 + 2x

B

\displaystyle x = \dfrac{-1 + 3y}{4}

C

x = 7 - 2y

D

y = 7 - 2x

Solve

2x + y = 7

and

4x - 3y = -1

.

A

x = 2

,

y = -3

B

x = 2

,

y = 3

C

x = 3

,

y = 1

D

x = 1

,

y = 5

Substituting in

x + 3y = 4

and

2x + 6y = 12

leads to

8 = 12

. What does this mean?

A

x = 8

and

y = 12

B There is exactly one solution

C There are infinitely many solutions

D There is no solution

Solve by substitution:

x - y = 6

and

x - 2y = 4

.

A

x = 10

,

y = 4

B

x = 2

,

y = 8

C

x = 6

,

y = 0

D

x = 8

,

y = 2

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