Math, asked by st7318344, 2 months ago

The sum of the values of x and y which form a solution to the system of equations 10x+3y=75 and 6x-5y-11=0 is​

Answers

Answered by satvik9447
0

Answer: x=6 and y=5

Step-by-step explanation:

let the value of x=6 and y=5

therefore, 10x+3y=75

(10*6)+(3*5)=75

60+15=75

75=75

6x-5y-11=0

therefore, (6*6)-(5*5)-11=0

(36-25)-11=0

11-11=0

0=0

hence, x=6 and y=5

Answered by vikashpatnaik2009
0

Answer:

The given two equations;

10x+3y=75 ———— (1)

6x-5y=11 ————— (2)

Given that we need to solve the equations using the substitution method.

1) Solve the equation (1) for x = or y =

2) Substitute the result in the second equation.

3) With the result, substitute it in the first equation.

4) x, y obtained.

1) From equation (1);

10x+3y=75

10x = 75 - 3y

x = (75 - 3y)/10

2) Substituting x in equation (2)

6x-5y=11

6(75 - 3y)/10 - 5y = 11

3(75 - 3y)/5 - 5y = 11

225 - 9y - 25y = 55

225 - 34y = 55

225 - 55 = 34y

170 = 34y

y = 5

3) Substituting the value of y in equation (1)

10x + 3y = 75

10x + 3(5) = 75

10x + 15 = 75

10x = 75 - 15

10x = 60

x = 6

4) Therefore the required solution is;

x = 6, y = 5

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