10x+3y=75 , 6x-5y=11 solve using substitution method brainly.in
Answers
Answer:
x = 6, y = 5
Step-by-step explanation:
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
Answer
BY SUBSTITUTION METHOD
Step-by-step explanation:
