Answer:
It has a single solution x=-3 y=26
Step-by-step explanation:
The ratios of coefficients of x and y are different, so the pair of equations has one solution. It is easy to tell the first offered solution (15, 17) does not satisfy the first equation, so that choice is eliminated.
Fortunately, the second offered solution, (x, y) = (-3, 26), satisfies both equations.
The equations have a single solution: (x, y) = (-3, 26).
Answer: The equation has a single solution x = -3 , y = 26.
( -3, 26 )
Step-by-step explanation:
3x + y =17 ---------------------(1)
x + 2y = 49 -------------------(2)
Using substitution approach
From (2)
x = 49 - 2y --------------------(3)
Now put (3) in equation (1) and solve.
3(49 - 2y) + y = 17
Open the bracket and solve
3 x 48 - 3 x 2y + y = 17
147 - 6y + y = 17
Gather like terms
-5y = 17 - 147
-5y = -130
Multiple through by (-1)
5y = 130
Divide by 5
y = 130/5
y = 26.
Substitute for y now in equation (3) to get the value of x
3x + y = 17
3x + 26 = 17
3x = 17 - 26
3x = -9
Now , divide by 3
x = -3
The equation had a single solution of x = -3 , y = 26
Chech.
3 x -3 + 26
-9 + 26
= 17
