Solve the following system of equations using elimination: 3x + 5y = 4 4x + 2y = -18
3x + 5y = 4, 4x + 2y = -18 (3x + 5y = 4) * (-2); -6x - 10y = -8; (4x + 2y = -18) * 5; 20x + 10y = -90; (-6x - 10y = -8) + (20x + 10y = -90); 14x = -98; x = -98/14; x = -7; 3(-7) + 5y = 4; -21 + 5y = 4; 5y = 4 + 21; 5y = 25; y = 25/5; y = 5; The solution set for 3x + 5y = 4, 4x + 2y = -18 is {-7, 5}.
Question
Updated 3/8/2015 2:58:22 PM
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3
3x + 5y = 4, 4x + 2y = -18
(3x + 5y = 4) * (-2);
-6x - 10y = -8;
(4x + 2y = -18) * 5;
20x + 10y = -90;
(-6x - 10y = -8) + (20x + 10y = -90);
14x = -98;
x = -98/14;
x = -7;
3(-7) + 5y = 4;
-21 + 5y = 4;
5y = 4 + 21;
5y = 25;
y = 25/5;
y = 5;
The solution set for 3x + 5y = 4, 4x + 2y = -18 is {-7, 5}.

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