What is the solution to the system of equations? use the linear combination method. {2x−3y=9 {3x+5y=4

1. {2x−3y=9
{3x+5y=4

2. {(2x−3y=9)×5
{(3x+5y=4)x3

3. {10x-15y=45
{9x+15y=12

4. (10x-15y=45) + (9x+15y=12)= (19x=57)

5. (19x=57)÷19

6. x=3

7. 2(3)-3y=9

8. 6-3y=9

9. -3y=9-6

10. (-3y=3)÷(-3)

11. y=-1

x=3 and y=-1

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Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.