Solve the simultaneous equations:
3a-2b=14
4a+3b=13
2 answers:
Answer:
a = 4 b = -1
Step-by-step explanation:
13 = 4a - 3b (1)
14 = 3a + 2b (2)
(1) x 2
(2) x 3
26 = 8a - 6b (3)
42 = 9a + 6b (4)
(3) + (4)
68 = 17a
68/17 = 17a/17
a = 4
Substitute back in to original equation
14 = 3(4) - 2b
14 = 12 - 2b
14 - 12 = 12 -12 - 2b
2 = -2b
Divide by -2 both sides
b = -1
Check
3(4) - 2(-1)
12 + 2 = 14
Answer:
Step-by-step explanation:
3a-2b=14 multiply by 3
9a - 6b = 42 (1)
4a+3b=13 multiply by 2
8a +6b = 26 (2)
sum up (1) and (2)
17a = 68
a =4
b=-1
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