Question

solve the system by substitution.
$3y + 4 = x$
$4x - 5y = 23$
answer attempt 1 out of 2
(\boxed{ }, \boxed{ })$submit answer$

Explanation:

Step1: Substitute \( x = 3y + 4 \) into the second equation

We have the second equation \( 4x - 5y = 23 \). Substitute \( x \) with \( 3y + 4 \), so we get \( 4(3y + 4) - 5y = 23 \).

Step2: Simplify and solve for \( y \)

First, expand the left - hand side: \( 12y+16 - 5y=23 \). Combine like terms: \( 7y + 16=23 \). Subtract 16 from both sides: \( 7y=23 - 16=7 \). Then divide both sides by 7: \( y = 1 \).

Step3: Substitute \( y = 1 \) back to find \( x \)

Substitute \( y = 1 \) into the equation \( x = 3y+4 \). So \( x=3\times1 + 4=7 \).

Answer:

\((7,1)\)