The equation represents two equivalent expressions [ similar sides ]
Hope this helps!
Answer:
<em><u>y + 3 = -6(x+2) (( y = -6x - 15 ))</u></em>
Step-by-step explanation:
The main way to start doing this is to either graph each one or make every equation solving for y; as in slope-intercept form <u><em>(y = mx +b)</em></u>.
This will turn each possible answer into
a. y = -6x - 15
b. y = 6x + 16
c. y= -6x + 15
d. y= 6x - 16
If we graph each one on a graph then find the point <em><u>(-2, -3)</u></em> to see if it is on the line; the equation that has <em><u>(-2, -3)</u></em> on the line is the answer.
In this case the answer is a. y = -6x - 15
This looks like an addition (summation is the technical term) series. Here we need to figure out the difference between each number in the series. The difference between 6.75 and 9.25 is 2.5 (You can subtract the larger number from the smaller number to find out). So, 6.75-2.5=4.25.
So the correct answer in the blank is 4.25, and the rule is +2.5.
Let x be one number and y be the other.
#1 - Set up a system of equations.
4x = y
x + y = 45
#2 - Solve the system by substitution.
x + (4x) = 45
5x = 45
x = 9
(9) + y = 45
y = 36