Answer:
x = 4 and y = 0
Step-by-step explanation:
Using the elimination method:
4(-x + 5y=-4) --> -4x + 20y = -16.
Now we add -4x + 20y = 016 and 4x + 3y = 16. This gives us 23y = 0 or just y =0.
Now we can find x by plugging in y.
-4x + 0 = -16.
Divide by -4 on both sides -> x = 4.
If you want to double check you can plug your values into -4x + 20y = -16.
-4(4) +20(0) = -16.
Answer:
150 = x
Step-by-step explanation:
We can use a ratio to solve
100 batches x batches
------------------- = ---------------------
8 hours 12 hours
Using cross products
100 * 12 = 8x
1200 = 8x
Divide by 8
1200/8 = 8x/8
150 = x
<h2>Answer:
The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>
<h3 /><h3>Step-by-step explanation:
</h3>
<u>Find the slope of the parallel line</u>
When two lines are parallel, they have the same slope.
⇒ if the slope of this line = - 8
then the slope of the parallel line (m) = - 8
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 11 = - 8 (x - (-1))
∴ y - 11 = - 8 (x + 1)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 11 = - 8 (x + 1)
y = - 8 x + 3
The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).
Think of absolute value and inverse operation, +72 to 72 and 24