Question

Which properties justify the steps taken to solve the system? {2a 7b=03a−5b=31 Drag the answers into the boxes to match each step. 10a 35b=0; 21a−35b=217 ​31a = 217 a = 7 2(7) 7b=0 14 7b = 0 7b=−14 b=−2.

Answer 1

The values of a and b are 7 and 2.

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

       2a + 7b =0 .....1

and 3a - 5b = 31 .....2

To find

The solution of a and b.

How to find the solution of a and b?

Equation (1) x 5  and equation (2) x 7, we get

10a + 35b = 0 and 21a - 35b = 271

Add the equation, we have

31a = 271

Divide both sides by 31

a = 7

Put value of a in equation 1

2x7 + 7b = 0

Subtract 14 from both sides

2b = -14

divide both sides by 2

b = -2

The values of a and b are 7 and 2.

More about the linear system link is given below.

brainly.com/question/20379472