What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?
2 answers:
4x + y = 5
3x + y = 8
y = -3x + 8
4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3
y = -3(-3) + 8
y = -9 + 8
y = -1
Answer:
x = -3 and y = 17
Step-by-step explanation:
The given system of equations is
4x + y = 5 --------(1)
and 3x + y = 8 ----------(2)
Now we subtract equation (2) from equation (1)
(4x+y) - (3x+y) = 5 - 8
(4x - 3x) + (y-y) = -3
x = -3
Now we put x = -3 in equation (1)
4(-3) + y = 5
-12 + y = 5
y = 5 + 12 = 17
Therefore, x = -3 and y = 17 is the solution of the given system of equations.
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