## solve the following pair of linear equation x+y=14,2x-3y=12 by elimination method

Question

solve the following pair of linear equation x+y=14,2x-3y=12 by elimination method

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Mathematics
10 months
2021-07-07T15:57:17+00:00
2021-07-07T15:57:17+00:00 2 Answers
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## Answers ( )

Given:Tofind:Value of x and y.

Solution:For solving this question by elimination method, Multiply the first Equation by 3.

3(x + y) = 3(14)

→

3x + 3y = 42—- [Equation 3]Add Equation 2 and Equation 3 to eliminate the value of y.

2x – 3y = 12

{+}

3x + 3y = 425x = 54

→ x = 54/5

Substitute the value of x in Equation 1 to find out the value of y.

x + y = 14

→ 54/5 + y = 14

→ y = 14 – 54/5

→ y = 70/5 – 54/5

→ y = (70 – 54) ÷ 5

→ y = 16/5

∴ The value of x and y is54/5and16/5respectively.Answer:X+y =14

2x -3y =12

2(X+y=14)

2x-3y=12

2x+2y=28

2x-3y=12

2x-2x+2y+3y=28-12

5y= 16

y= 16/5

X+y = 14

X+ 16/5 =14

X =14-16/5

X = 54/5