Solve each of the following systems, if possible. indicate whether the system has a unique solution, infinitely many solutions, or no solution. a. 2x + 10y = 9
3x + 15y = 13

b. 2x + 8y = 5
3x + 12y = 7.5

c. y = 3-x

d. 5x -8y = -1
-5/2 x + 4y = 1/2​

(a) No solution

(b) Infinitely many solution

(c) No solution

(d) Infinitely many solution

Step-by-step explanation:

Solving (a):

--- (1)

--- (2)

Multiply (1) by 1.5

1.5 * []

--- (3)

Subtract 2 and 3

The above is false; Hence, the system has no solution

Solving (b):

--- (1)

-- (2)

Multiply 1 by 1.5

1.5 * []

Subtract 2 and 3

The above implies that the system has infinitely many solutions

Solving (c):

A second equation is required to solve for (c)

Solving (d):

--- (1)

--- (2)

Multiply (2) by 2

--- (3)

Add 1 and 3

The above implies that the system has infinitely many solutions

b. x + 1

step-by-step explanation:

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