3a+5b=4

4a+3b=2
find a and b please

1 answer

Multiply the top equation by 3 and the bottom by 5:

9a + 15b = 12
20a + 15b = 10

Now subtract one from the other, and the b's vanish:

11a = -2
a = -2/11
Now plug that value into either equation to get b:
3(-2/11) + 5b = 4
-6 + 55b = 44
55b = 50
b = 10/11

Check these values in the other equation:

4(-2/11) + 3(10/11)
= (-8 + 20)/11 = 22/11 = 2
looks ok.
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