Answer:
x=4 and y=2
Step-by-step explanation: Step 1: Solve x+3y=10 for x:
x+3y=10
x+3y+−3y=10+−3y(Add -3y to both sides)
x=−3y+10
Step 2: Substitute−3y+10for x in2x+2y=12:
2x+2y=12
2(−3y+10)+2y=12
−4y+20=12(Simplify both sides of the equation)
−4y+20+−20=12+−20(Add -20 to both sides)
−4y=−8
−4y
−4
=
−8
−4
(Divide both sides by -4)
y=2
Step 3: Substitute 2 for y in x=−3y+10:
x=−3y+10
x=(−3)(2)+10
x=4(Simplify both sides of the equation)
So your answer would be x=4 and y=2
Hope this helps
Answer:
1/5
Step-by-step explanation:
it's denominator is 5, so it needs 5 parts to make a whole
18/35 is halfway between 3/5 and 5/7. Do you want me to explain or just the answer?
This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
