3 x + 2 y = 6
4 x + y = 1 Solve the system of equations.
1 answer:
<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>
Hope this helped! ~
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