I mean by using substitution method

April 9, 2026Mathematics

ScanSolve AI Answer

Answer

x=9, y=10

5 steps

Write down the given equations.
$2x - y = 8 \quad \text{(1)}$ $3x - y = 17 \quad \text{(2)}$
Isolate $y$ from equation (1).
$2x - y = 8$ $-y = 8 - 2x$ $y = 2x - 8 \quad \text{(3)}$
Substitute the expression for $y$ from equation (3) into equation (2).
$3x - (2x - 8) = 17$ $3x - 2x + 8 = 17$ $x + 8 = 17$
Solve for $x$ .
$x = 17 - 8$ $x = 9$
Substitute the value of $x$ into equation (3) to solve for $y$ .
$y = 2(9) - 8$ $y = 18 - 8$ $y = 10$
The solution is $x=9$ and $y=10$ .
$x=9, y=10$

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