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Solve the system of linear equations below.

2x + 5y = 34
x + 2y = 14

A. x = -26, y = 20

B. x = 2, y = 6

C. x = 3, y = 5.5

D. x = 10, y = 2

Solve the system of linear equations below 2x 5y 34 x 2y 14 A x 26 y 20 B x 2 y 6 C x 3 y 55 D x 10 y 2 class=

Respuesta :

Hrishii

Answer:

B. x = 2, y = 6

Step-by-step explanation:

[tex]2x + 5y = 34...(1) \\ \\ x + 2y = 14 \\ \therefore \: x = 14 - 2y...(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 2(14 - 2y) + 5y = 34 \\ \therefore \: 28 - 4y + 5y = 34 \\ \therefore \: 28 + y = 34 \\ \therefore \: y = 34 - 28 \\ \huge \red{ \boxed{\therefore \: y = 6}} \\ substituting \: y = 6 \: in \: equation \: (2) \\ x = 14 - 2 \times 6 \\ \therefore \: x =14 - 12 \\ \huge \purple{ \boxed{\therefore \: x =2}} \\ \\ \huge \orange{ \boxed{ \therefore \: x = 2, \: \: y = 6}} \\ [/tex]

Answer: x=2, y=6: correct answer is B

Step-by-step explanation:

2x+5y=34............(1)

x+2y=14..............(2)

Using substitution method

Make x the subject of formula in equation 2

x=14-2y................(3)

Substitute equation 3 into equation 1

2(14-2y)+5y=34

28-4y+5y=34

28+y=34

Make y the subject of the formula

y= 34-28

y=6

To find x substitute y=6 into equation 1

2x+5y=34

2x+5(6)=34

2x+30=34

2x=34-30

2x= 4

x=4/2

x=2

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