Solve the simultaneous equations.
1 answer:
Answer:
x=3/2, y=-1/2
Step-by-step explanation:
2x+4y =1
3x-5y =7
We will use elimination to solve these
Multiply the first equation by 3
3(2x+4y =1) 6x +12y =3
Multiply the second equation by -2 so that the x coefficients are the opposites of each other (6 and -6)
-2(3x-5y =7) -6x +10y =-14
Add the two new equations together
6x +12y =3
-6x +10y =-14
--------------------
0 + 22y = -11
Divide each side by 22
22y/22 = -11/22
y = -1/2
Now we can substitute y=-1/2 into the first equation and solve for x
2x + 4y =1
2x +4(-1/2) =1
2x -2 =1
Add 2 to each side
2x-2+2=1+2
2x=3
Divide by 2
2x/2 =3/2
x = 3/2
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