Solve the system of equations below:
D)no solution

Question

Solve the system of equations below: 
D)no solution

Quizplus · Accepted Answer

The system of equations is:
2x + 3y = 13
5x - 4y = 10
Multiplying the first equation by 4 and the second equation by 3 gives:
8x + 12y = 52
15x - 12y = 30
Adding the two equations eliminates y and gives:
23x = 82
x = 82/23
Substituting x = 82/23 into the first equation gives:
2(82/23) + 3y = 13
Multiplying both sides by 23 gives:
2(82) + 69y = 299
69y = 135
y = 135/69
Therefore, the solution is (82/23, 135/69), which is equivalent to choice C.

Solve the System of Equations Below