Question

A1+a4=26 a2-a5=6 a3+a5=?

Answer 1

2•1+6•4=26

8•2-2•5=6

1•3+1•5=8

Answer 2

To find the value of a3 + a5, we need to solve the given system of equations:

1. A1 + A4 = 26
2. A2 - A5 = 6

Since we don't have an equation directly relating a3 and a5, we need to eliminate the variables A1, A2, A4 to find a3 and a5.

Step 1: Solve for A1 and A4 in terms of A2 and A5 using equation (1): A1 = 26 - A4 A4 = 26 - A1

Step 2: Substitute the expressions for A1 and A4 in terms of A2 and A5 into equation (2): A2 - A5 = 6

Step 3: Rearrange equation (2) to isolate A5: A5 = A2 - 6

Step 4: Substitute the expression for A5 back into the equation for A4: A4 = 26 - (A2 - 6) A4 = 26 - A2 + 6 A4 = 32 - A2

Step 5: Now we need to find A3 + A5: A3 + A5 = A3 + (A2 - 6)

At this point, we don't have enough information to directly calculate A3 + A5 since A3 and A2 are still unknown. Without additional equations or information, we can't determine the exact value of A3 + A5.