Question

2 enter the value of c when the expression 21.2x + c is equivalent to 5.3(4x - 2.6).

Explanation:

Step1: Expand the right - hand side

We use the distributive property \(a(b + c)=ab+ac\). For the expression \(5.3(4x - 2.6)\), we have:
\(5.3\times4x-5.3\times2.6\)
Calculate \(5.3\times4 = 21.2\) and \(5.3\times2.6=13.78\)
So \(5.3(4x - 2.6)=21.2x-13.78\)

Step2: Compare with the left - hand side

The left - hand side expression is \(21.2x + c\). Since \(21.2x + c\) is equivalent to \(21.2x-13.78\), by comparing the constant terms, we can see that \(c=- 13.78\)

Answer:

\(-13.78\)