3 x + 2 y = 6 4 x + y = 1 Solve the system of equations.

1 answer:

8 0

<h2>3x + 2y = 6</h2><h2>4x + y = 1</h2><h2>Solve the second equation for y:</h2><h2>y = -4x + 1</h2><h2 /><h2>Substitute -4x + 1 for y in the first equation.</h2><h2>3x + 2(-4x + 1) = 6</h2><h2>3x - 8x + 2 = 6</h2><h2>-5x = 4</h2><h2>x = -4/5</h2><h2 /><h2>Now substitute x with -4/5 in the first original equation.</h2><h2>3x + 2y = 6</h2><h2>3 * (-4/5) + 2y = 6</h2><h2>-12/5 + 2y = 6</h2><h2 /><h2>-12 + 10y = 30</h2><h2>10y = 42</h2><h2>y = 42/10</h2><h2>y = 21/5</h2><h2><em>Solution: (-4/5, 21/5)</em></h2>

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