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Q: solve by the substitution method 7x+3y=-17 and x =19-4y. is there a solution or not?
A: 7x + 3y = -17 x = 19 - 4y; 7(19 - 4y) + 3y = -17; 133 - 28y + 3y = -17; 133 - 25y = -17; -25y = -17 - 133; -25y = -150; y = -150/-25; y = 6; x = 19 - 4(6); x = 19 - 24; x = -5; The solution set is (-5, 6).
Original conversation
User: solve by the substitution method 7x+3y=-17 and x =19-4y. is there a solution or not?

Question
Updated 3/22/2015 3:31:15 AM
Flagged by Andrew. [3/22/2015 3:31:15 AM]
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3
7x + 3y = -17
x = 19 - 4y;

7(19 - 4y) + 3y = -17;
133 - 28y + 3y = -17;
133 - 25y = -17;
-25y = -17 - 133;
-25y = -150;
y = -150/-25;
y = 6;
x = 19 - 4(6);
x = 19 - 24;
x = -5;
The solution set is (-5, 6).

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