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4 votes
Solve the system of equations algebraically.

4x - 3y - 8
5x - 4y = 5
a. (16.21)
b. many solutions
c. no solution
d. (17, 20)

User Medium
by
7.7k points

1 Answer

5 votes

Answer: d. (17, 20)

Explanation:

We have the following system of equations:


x-3y=8 (1)


5x-4y=5 (2)

Isolating
x from (1):


x=(8+3y)/(4) (3)

Substituting (3) in (2):


5((8+3y)/(4))-4y=5 (4)

Isolating
y:


(40)/(4)+(15 y)/(4)-4y=5 (5)


10-5=4y-(15 y)/(4) (6)


y=20 (7)

Substituting (7) in (1):


x-3(20)=8 (8)

Isolating
x:


x=17 (9)

Hence, the correct option is d. (17, 20)

User Pynexj
by
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