Answer:
I think there is an error in the question, I assume it reads:
4x+2y=20
x+3y=50
If not, please make appropriate corrections to the question.
Answer: x=-4, y=18
Step-by-step explanation:
4x+2y=20
Simplify, divide by two,
2x+y=10.....................(1)
x+3y=50....................(2)
Multiply (2) by 2
2x+6y=100 ....................(2a)
Subtract (1) from (2a)
2x+6y - (2x+y) = 100 - 10
5y = 90
y=18..............................(3)
Substitute (3) into (1)
2x+(18)=10
2x = 10-18 =-8
x=-4 ............................(4)
Substitute (3) and (4) into (1) for verification
2x+y = 2(-4)+18 = 18-10 = 10 checks.
Substitute (3) and (4) into (2) for verification
x+3y=-4+3(18) = -4+54 = 50 checks.
Have a nice day!
