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Tanzania [10]
3 years ago
15

Solve the system of linear equations below.

Mathematics
2 answers:
Olegator [25]3 years ago
5 0

Answer:

B. x = 2, y = 6

Step-by-step explanation:

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}} \\

yulyashka [42]3 years ago
3 0

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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