SOLUTION: How can $42,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts is equal at the end

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Question 714677: How can $42,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts is equal at the end of the year?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount invested @ 4%
+42000+-+x+ = amount invested @ 10%
given:
+.04x+=+.1%2A%28+42000+-+x+%29+
+.04x+=+4200+-+.1x+
+.14x+=+4200+
+x+=+30000+
+42000+-+30000+=+12000+
$30,000 should be invested @ 4%
$12,000 should be invested @ 10%
check:
+.04x+=+.1%2A%28+42000+-+x+%29+
+.04%2A30000+=+.1%2A12000+
+1200+=+1200+
OK