Alvin's first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by - 3. Which linear combination of Alvin's system of equations reveals the number of solutions to the system?

9x + 4y = 36

6x + 2.5y = 24

Question

Mathematics

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20 July, 03:10

Alvin's first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by - 3. Which linear combination of Alvin's system of equations reveals the number of solutions to the system?

9x + 4y = 36

6x + 2.5y = 24

+2

Answers (2)

Know the Answer?

Brady Jordan · Answer 1

The answer

9x + 4y = 36 (times 2) implies 18x + 8y = 72 (a)

6x + 2.5y = 24 (times - 3) imiplies 18x + 7.5y = 72 (b)

so (a) - (b) 8-7.5) y=0, and y=0

when y=o 18x + 8. 0 = 72 implies x = 4

so the solution is (4,0)

Patricia Dorsey · Answer 2

After multiplying by the stated coefficients and adding, the equation obtained is:

8y - 7.5y = 0

y = 0

x = 4

Because the two equations formed were independent, they had one solution.

Alvin's first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by - 3. Which linear combination of Alvin's system of equations reveals the number of solutions to the system?9x + 4y = 366x + 2.5y = 24

Alvin's first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by - 3. Which linear combination of Alvin's system of equations reveals the number of solutions to the system?

9x + 4y = 36

6x + 2.5y = 24