Solve a part only in 30 min and take a thumb up plz 2. Taika invested a total of $ (a + b + c + 900) x 1,000 into three investment accounts, paying3%,4%, and 5% simple interest per year. The annual interest earned on the three investmentswas $ (c + 720) x 50. Twice as much money is invested at 3% as invested at 5%.Let x be the amount invested in the 3% account,and z be the amount invested in the 5% account.y be the amount invested in the 4% account,O0(a) Use the given information to write a system of linear equations for x, y, and z.(b) Convert this system to an augmented matrix.(c) Use a spreadsheet and Gaussian elimination with matrices to find the amount that wasinvested at each interest rate.Include two screenshots:SS(1) the formula view (or put in front to keep them from evaluating) of your spreadsheet(2) the results.Note: (Using methods other than Gaussian Elimination will result in heavy mark losses.You need to convert your matrix into row-echelon form.)(d) Check your answer for part (c) by substituting your solutions into the system of equations.N

Let us form the system of linear equations for x, y and z using the given information in the problem…

Taika invested a total of $ (a+b+c+ 900) x 1,000 into three investment accounts, paying 3%,4%, and 5% simple interest per year. The annual interest earned on the three investments was $ (c + 720) x 50. Twice as much money is invested at 3% as invested at 5%. Let x be the amount invested in the 3% account, y be the amount invested in the 4% account, and z be the amount invested in the 5% account. (a) Use the given information to write a system of linear equations for x, y, and z.