The given system of equations, 2x - 5 = 6y and y = 13x + 4, can be solved using various methods, such as substitution or eliminating a variable. Let's solve the system to determine the outcome.
Substituting the value of y from the second equation into the first equation:
2x - 5 = 6(13x + 4)
2x - 5 = 78x + 24
Rearranging the equation:
2x - 78x = 24 + 5
-76x = 29
Dividing both sides by -76:
x = 29/-76
x = -29/76
Substituting the value of x back into the second equation to find y:
y = 13(-29/76) + 4
y = -377/76
Therefore, the solution to the given system is x = -29/76 and y = -377/76, which is a unique solution.
Based on this, Mya is incorrect in saying there is no solution. However, Liliana is also incorrect in stating that there is an infinite number of solutions. In reality, there is only one solution.
Mya and Liliana are analyzing a system of equations, 2x−5=6y and y=13x+4. Mya says there is no solution and Liliana says there are an infinite number of solutions. Which options best explains what is going on?
1 answer
1 answer