A total of $76,000 is to be​ invested, some in bonds and some in certificates of deposit​ (CDs). If the amount invested in bonds is to exceed that in CDs by $6,000, how much will be invested in each type of​ investment

$41,000 will be invested in bonds and $35,000 will be invested in certificates of deposit (CDs)Step-by-step explanation:A total of $76,000 is to be​ investedSome invested in bondsSome invested in certificates of deposit​ (CDs)The amount invested in bonds is to exceed that in (CDs) by $6,000We need to find how much will be invested in each type of investmentAssume that the amount invested in bonds is x and the amount invested in CDs is y∵ x represents the amount invested in bonds∵ y represents the amount invested in CDs∵ The amount of investment is $76,000∴ x + y = 76,000 ⇒ (1)∵ The amount invested in Bonds exceeds the amount invested    in CDs by $6,000∴ x = y + 6,000 ⇒ (2)Substitute x in equation (1) by equation (2)∵ (y + 6,000) + y = 76,000- Add like terms∴ 2y + 6,000 = 76,000- Subtract 6,000 from both sides∴ 2y = 70,000- Divide both sides by 2∴ y = 35,000Substitute the value of y in equation (2) to find the value of x∵ x = 35,000 + 6,000∴ x = 41,000$41,000 will be invested in bonds and $35,000 will be invested in certificates of deposit (CDs)Learn more:You can learn more about solving the system of equations in brainly.com/question/13168205#LearnwithBrainly