Determine the number of solutions of the linear system: 14x + 7y = 315 16x - 2y = 610
Mathematics · Middle School · Tue Nov 03 2020
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Given:
14x + 7y = 315
16x -2y =610
Determine the solution.
Solution:
In order to determine the solution, simply equate the two given equations in one single solution and solve for x and y separately.
14x + 7y - 315 = 16x - 2y - 610
Transpose 16x -2y -610 on the other side of the equation, hence we mus take note that when transposing a number, the sign changes.
14x + 7y - 315 - 16x + 2y + 610 = 0
-2x + 9y + 295 = 0
Solve for x.
-2x + 9y + 295 = 0
2x = 9y + 295
x = 9/2y + 295/2
Solve for y.
-2x + 9y + 295 = 0
9y = 2x - 295
y = 2/9x - 295/9
Final answer:
x = 9/2y + 295/2
y = 2/9x - 295/9