Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve using substitution. $y = 2x - 10$ $y = x - 2$ $(\\square, \\squar…

Question

solve using substitution.
$y = 2x - 10$
$y = x - 2$
$(\square, \square)$

Explanation:

Step1: Substitute \( y \) from second equation into first

Since \( y = x - 2 \) and \( y = 2x - 10 \), substitute \( y \) in the first equation with \( x - 2 \):
\( x - 2 = 2x - 10 \)

Step2: Solve for \( x \)

Subtract \( x \) from both sides:
\( -2 = x - 10 \)
Add 10 to both sides:
\( x = 8 \)

Step3: Find \( y \) using \( x = 8 \)

Substitute \( x = 8 \) into \( y = x - 2 \):
\( y = 8 - 2 = 6 \)

Answer:

\((8, 6)\)