Match the answer to the question about these linear equations:
3x+4y=48
y=−34x−3
(2 points)
3 answers
The answer is x=3 and y=1.
what is the solutin to this linear system
To find the solution to the linear system represented by the two equations 3x+4y=48 and y=-3x-34, we can substitute the second equation into the first equation:
3x + 4(-3x - 34) = 48
3x - 12x - 136 = 48
-9x - 136 = 48
-9x = 184
x = -20.44
Now that we have found the value of x, we can substitute it back into the second equation to find the value of y:
y = -3(-20.44) - 34
y = 61.32 - 34
y = 27.32
Therefore, the solution to the linear system is x = -20.44 and y = 27.32.
3x + 4(-3x - 34) = 48
3x - 12x - 136 = 48
-9x - 136 = 48
-9x = 184
x = -20.44
Now that we have found the value of x, we can substitute it back into the second equation to find the value of y:
y = -3(-20.44) - 34
y = 61.32 - 34
y = 27.32
Therefore, the solution to the linear system is x = -20.44 and y = 27.32.