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➷ Use the simultaneous equations method:
x - 4y = 6
3x + 4y = 10
Add these two equations together to cancel out 'y':
4x = 16
Divide both sides by 4:
x = 4
substitute this value into one of the equations:
(4) - 4y = 6
Subtract 4 from both sides:
- 4y = 2
Divide both sides by -4:
y = -0.5
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Answer:
x = 4, y =1/2 is the solution of system of equations.
Step-by-step explanation:
We have given the system of equations :
x - 4y = 6 (eq 1)
3x + 4y = 10 (eq 2)
We have to solve the system of equations.
Find the value of x from (eq 1) we get,
x = 6+4y (eq 3)
Put in eq 2 we get,
3(6+4y) + 4y = 10
18+12y +4y = 10
18 +16y = 10
16y =10-18
16y = -8
y = -1/2
Put y =-1/2 in (eq 3) we get,
x = 6+4(-1/2)
x = 6 -2= 4.
x = 4, y =1/2 is the solution of system of equations.