Question

Solve the simultaneous equations 2x + 3y = 5, 5x − 2y = −16​

Answer 1

Answer:

x = -2

y = 3

Step-by-step explanation:

2x + 3y = 5

2x = 5 - 3y

x = 5 - 3y/2 ---> (1)

5x - 2y = -16

Substitute (1) in this equation

5(5-3y/2) - 2y = -16

25-15y/2 - 2y = -16

25-15y/2 - 4y/2 = -16

25-15y-4y/2 = -16

25-15y-4y = -16×2

25-19y = -32

-19y = -32-25

-19y = -57

y = 3

Substitute y = 3 in (1)

x = 5-3(3)/2

x = -4/2

x = -2

Answer 2

Answer:

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