Question

1. How do you find the solution of the system of equations ? Find x and y.

x - 4y = 6 and 3x + 4y = 10

Can someone solve this? Please?

Answer 1

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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 2

x = 4, y =1/2 is the solution of system of equations.

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.