x+y=17
a+b=13
x+a=19
y+b=15
find values of x,y,a and b
Answers
Step-by-step explanation:
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Answer:
y + b= 19
b = 19 - y
a + b = 13
a + 19 - y = 13
a = -6 + y
x + y = 17
x = 17 - y
x + a = 19
a = 19 - x
a - b - x = (- 6 + y) - (19 - y) - (17 - y)
19 - x - b - x = - 6 + y - 19 + y - 17 + y
19 - b - 2(17 - y) = - 46 + 3y
19 - b - 34 + 2y= - 46 + 3y
- b = -46 + 56 + y
- b = 10 + y
a + b + x = - 6 + y + 19 - y + 17 - y
a + x = 30 - y - b
a + 17 - y = 30 - y + 10 + y
a = 40 - 17 + y
a = y + 23
a - b + x = (- 6 + y) - (19 - y) + (17 - y)
a - b + x = - 6 + y - 19 + y + 17 - y
a - b + x = -25 + 17 + y
23 + y + 10 + y + x = - 8 + y
25 + y = - x
a - b - x = (- 6 + y) + (19 - y) - (17 - y)
y + 23 + 10 + y + 25 + y = - 6 + y + 19 - y - 17 + y
3y + 58 = y - 4
2y = - 62
y = - 31
-x = 25 + y
- ( 17 - y ) = 25 - 31
17 - y = 6
-y = - 11
y = 11. ( this will be the actual value, as the other equation such as 25 + y
and etc which we found were not a part of the question)
now you can put the values and find the answer
b = 19 - 11
= 8
x = 17 - 11
= 6
a = 13 - b
= 13 - 8
= 5
I hope this helps...... and is correct