Solve this simultaneous linear and quadratic equation by using subtraction method, 2x−y=8 3x−y=17

April 9, 2026Mathematics

ScanSolve AI Answer

Answer

x=9, y=10

3 steps

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

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