show all workings please. TIA
1) a) Write down the augmented matrix for the following systemof linear equations and solve the system.
3x1 ? 7x2 + 4x3 = 10
?x1 ? 2x2 + 3x3 = 1
x1 + x2 + 2x3 = 8
b) Jason invested $30 000, splitting it between the threecompanies Acorn Industries, Balderdash Bank and Chester Challenge.The interest rates were respectively 5%, 6% and 7% per annum. Thetotal annual income (i.e. the sum of the interest payments) was$1700. The income from the investments with Balderdash and Chesterwas $200 more than the income from the Acorn investment.
Begin by letting the investments with Acorn, Balderdash andChester be $a, $b and $c respectively
i) Write equations representing three facts about theinvestments. Discuss your equation as to why it should be this.
ii) Solve this system of equations using an augmentedmatrix.
iii) How much did Jason invest with each company? Write ananswer in words. (Answers to word problems should always be givenin words).
