Question

solve each system by substitution

1. 2x + 3y =22
y=4

A. (-3,5)
B. (3,5)
C. (5,4)
D. (4,5)

2. y=0
-5x - 2y = -15

A. (-2,6)
B. (3,0)
C. infinite number of solutions
D. (3,-2)

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extra

there are 14 animals in the field. Some are goats and some are ducks. There are 42 legs in all. How many of each animal are in the field?

A. 11 ducks and 4 goats
B. 12 ducks and Two Goats
C. 11 ducks and three goats
D. 7 ducks and seven goats
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Answer 1

Answer:

1. 2x + 3y =22

y=4

C. (5,4)

2. y=0

-5x - 2y = -15

B. (3,0)

Step-by-step explanation:

2x+(3)(4)=22

Step 1: Simplify both sides of the equation.

2x+12=22

Step 2: Subtract 12 from both sides.

2x+12−12=22−12

2x=10

Step 3: Divide both sides by 2.

2x/2 = 10/2

x=5

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−5x−(2)(0)=−15

Step 1: Simplify both sides of the equation.

−5x−(2)(0)=−15

−5x+0=−15

(−5x)+(0)=−15(Combine Like Terms)

−5x=−15

−5x=−15

Step 2: Divide both sides by -5.

−5x/−5 = −15/−5

x=3