To find the solution, we can substitute the value of y from the first equation into the second equation:
3x + (1/4x - 6) = 7
Multiplying through by 4 to get rid of the fraction, we have:
12x + x - 24 = 28
Combining like terms, we have:
13x - 24 = 28
Adding 24 to both sides:
13x = 52
Dividing both sides by 13:
x = 4
Substituting this value back into the first equation:
y = (1/4)(4) - 6
y = 1 - 6
y = -5
Therefore, the solution is (4, -5), which corresponds to option A.
y=1/4x-6
3x + y=7
A. (4,-5)
B. (-4,5)
C. (-4,-5)
D. (0,-5)
E. No solution
1 answer