if $b = w + 1$ and $a = 2w + 1$, find an expression that equals $2b + 3a$ in standard form.

if $b = w + 1$ and $a = 2w + 1$, find an expression that equals $2b + 3a$ in standard form.

if $b = w + 1$ and $a = 2w + 1$, find an expression that equals $2b + 3a$ in standard form.

Answer

Explanation:

Step1: Substitute B and A

Substitute $B = w + 1$ and $A=2w + 1$ into $2B + 3A$. $2(w + 1)+3(2w + 1)$

Step2: Distribute the coefficients

Use the distributive property $a(b + c)=ab+ac$. $2w+2 + 6w+3$

Step3: Combine like - terms

Combine the w - terms and the constant terms. $(2w+6w)+(2 + 3)=8w + 5$

Answer:

$8w + 5$