Answer:
x = 41
y = 24
Explanation:
Systems of equations is,
-2x - 7y = -250 ------(1)
4x - y = 140 ------(2)
Equation (1) multiplied by 2 then added to equation (2)
-4x -14y = -500
(+) 4x - y = 140
-15y = -360
y =
![(360)/(15)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bqqkpddkih0ygspilfvzmgfc91xu7kjmu6.png)
y = 24
by putting y = 24 in equation (2),
4x - 24 = 140
4x = 140 + 24
x =
![(164)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hp7bma9eo4n7cv7y2ftw3smyneltwg3jwl.png)
x = 41
For x = 41 and y = 24 both the equations are true.
Equation (1), -2(41) - 7(24) = -250 [True]
Equation (2), 4(41) - (24) = 140 [True]