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(4x+3)-(5x-7)=ax+b
In the given equation,
b is a constant. What is the value of
b ?

◻

( $4$ x+ $3$ )-( $5$ x $-7$ )=ax+b In the given equation, b is a constant. What is the value of b ? ◻

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Full solution

Q. (

4

x+

3

)-(

5

x

-7

)=ax+b In the given equation, b is a constant. What is the value of b ? ◻

Distribute negative sign: First, distribute the negative sign in the equation. $(4x + 3) - (5x - 7) = ax + b$ $= 4x + 3 - 5x + 7$
Combine like terms: Combine like terms. $4x - 5x + 3 + 7 = ax + b$ $= -x + 10 = ax + b$
Compare coefficients and constants: Compare coefficients of $x$ and the constant term. Since there is no $x$ term on the right side, $a$ must be $0$ . So, $b = 10$ .

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