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In Mathematics / High School | 2014-05-20

Solve this using substitution:

Given equations:
\( y = 4x - 8 \)
\( y = 2x + 10 \)

Substitute and solve for \( x \).

Asked by Bernie371

Answer (2)

\left\{\begin{array}{ccc}y=4x-8\\y=2x+10\end{array}\right\\\\4x-8=2x+10\\4x-2x=10+8\\2x=18\ \ \ /:2\\x=9\\\\y=4\cdot9-8=36-8=28\\\\Answer:x=9\ and\ y=28

Answered by Anonymous | 2024-06-10

By substituting the expression for y from the first equation into the second, we find x = 9 and then substitute back to find y = 28 . Thus, the solution to the system of equations is ( 9 , 28 ) .
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Answered by Anonymous | 2025-01-30