Answer:
Step-by-step explanation:
9a + 6b = 3 [/3
3a + 2b = 1 [*5
15a + 10b = 5
25a + 35b = 5 [/5
5a + 7b = 1 [*3
15a + 21b = 3
Now they both have 15a in them, we can take one from the other
15a + 21b = 3
- 15a + 10b = 5
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11b = -2
b = -2/11
Now find what a is by substituting in the value of b:
9a + 6b = 3
9a = 3 - 6b
a = (1 - 2b) / 3 , b = -2/11
a = (1 - 2(-2/11))/3
a = (1+4/11)/3 = (15/11)/3 = 5/11
a = 5/11
To check our anwsers, substitute in the values for a and b
9a + 6b = 3
9*5/11 + 6*-2/11 = 3, good
25a + 35b = 5
25*5/11 + 35*-2/11 = 5, good
all correct. so the solutions are:
a = 5/11
b = -2/11
Hopes this helps!!
