X=-3 because first substitute the value of y into the original equation -2x-3=x+6 then isolate the variables -2x-x=6+3 which is -3x=9 then we can divide x=9/-3 which =-3
1/5 full =250g
4/5 full =550g
550g-250g=300g=3/5 without jug
1/5 without jug=300g/3=100g
250g-100g=150g
<u>The jug weighs 150g empty</u>
Answer:
sin(2A) = (2√2 + √3) / 6
Step-by-step explanation:
2A = (A+B) + (A−B)
sin(2A) = sin((A+B) + (A−B))
Angle sum formula:
sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)
sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)
Pythagorean identity:
sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]
sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)
sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)
sin(2A) = 1/3 √2 + 1/6 √3
sin(2A) = (2√2 + √3) / 6
The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
The given system of equations is;

<h2>What is the first step to solving an equation?</h2>
The first step would be to rearrange the variables in the second equation so we have a defined expression for x.
We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
Rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
Hence, the correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
To know more about the System of equations click the link given below.
brainly.com/question/15240525
Answer:
Only the firsts and fourth choices (
and
)
Step-by-step explanation:
Turn the equation into words:
"A number plus 9"

"Multiplied by
"

"Is equals to -18"

Distribute to find the second equation:
