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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X=3 falls in the third piecewise function,
f(x)=x+1
f(3)=3+1=4
Answer:
0
Step-by-step explanation:
Substitute x = - 3 into the expression
x² + 4x + 3
= (- 3)² + 4(- 3) + 3
= 9 - 12 + 3
= 0
Answer:
Step-by-step explanation:
p=10(q-3r)/r
Cross multiply
pr = 10(q-3r)
pr = 10q - 30r
Pr + 30r = 10q
r(p + 30) = 10q
r = 10q/(p + 30)
Answer:
3:8
Step-by-step explanation:
it is 3:8 because i said it is. So basically 3:8 means 38 in sign language.