-5x-3=-23
Add 3 to both sides
-5x=-20
Divide both sides by -5
x=4
Final answer: x=4
Check:
-5(4)-3
-20-3
-23
-23=-23
True
Answer:
D'(4,-4), E'(5,-1), F'(8,0)
Step-by-step explanation:
After plotting DEF on a graph, individually move each plot point to the slope -2/1.
Answer:
Y-coordinate = y - 4
Step-by-step explanation:
In the given question point D coordinate is (x, y)
and D after translation
x goes to 6 unit to the right and y goes to 4 unit down.
Hence,
Y-coordinate = y-4
Example:From graph
Let point D coordinate (x , y) = (2 , 3)
After rotation
D coordinates is (x+6 , y-4) = (2+6 , 3_4) = (8 , -1)
<h2>Solving Equations</h2>
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
- If something is being added to x, subtract it from both sides.
- If something is being subtracted from x, add it on both sides.
- Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>

Because 7 is being added to x, subtract it from both sides:

Because x is being multiplied by 5, divide both sides by 5:

Therefore.
.
<h3>Question 2</h3>

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

To isolate x, subtract 4 from both sides:

Divide both sides by 2:

Therefore,
.
Answer:
2.125
Step-by-step explanation:
multiply 8.5 x 5/4 which gives you 10.625 and then 10.625 - 8.5 is 2.125