Solve the simultaneous equations
2 answers:
I use the substitution method, but you can also use elimination and matrix
1. Solve for y in 3x+y=14
y=14-3x
2. Substitute y=14-3x into x+2y=3
-5x+28=3
3. Solve for x in -5x+28=3
x=5
4. Substitute x=5 into y=14-3x
y=-1
5. Therefore,
x=5
y=-1
Have a nice day :D
You can use a bunch of different methods here, but I'll use substitution.
For the second equation, you can bring the 2y to the right side to isolate the x:
x=-2y+3
You can then substitute this into the first equation to find out y:
3x+y=14
3(-2y+3)+y=14
-6y+9+y=14
-5y=5
y=-1
Now you can plug in y to the second equation to find x:
x=-2y+3
x=-2(-1)+3
x=2+3
x=5
Therefore:
x=5
y=-1
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