Answer:
84+21
Step-by-step explanation:
First, do 7 times 12
7*12= 84
Then, do 7 times 3
7*3= 21
Answer:
Equation 2 of system divided by 2 on both sides then we get second equation of system 2.
Step-by-step explanation:
We are given two equations
We are given a proof which shows an equivalent system of equations created from another system of equations
We have to fill the correct reason in the blank space
Statement:
Reason: Given
Statement :
Reason : equation 2 of system I divided by 2 on both sides then we get second equation of system 2.
When we divide by 2 then the solution does not change and x and y - intercepts are not change.So, the two systems are equivalent.
-5z + 4n + 18z -10n
Combine like-terms
13z -6n
Your answer is A.) 13z - 6n.
In order to graph an equation, you must first plot the y intercept (the “b” in y=mx+b), and go from there. I’ll help you with a few! :)
1) take a look at the y intercept -3. Start at the origin, (0,0) aka the middle of the graph. Plot a point three units down, (0,-3). Now, take the slope, 2/1. Think of the slope as rise/run, so make your second point at (1,-1) (2 up, 1 to the right from your y intercept). Draw a line through the two points, (0,-3) and (1,-1).
5) for this one, we have to solve for y. Subtract x from both sides of the equation to get y=-x+4. Let’s plot the y intercept like last time, at (0,4). Since the slope -1/1 is negative, we will go down 1, and 1 to the right from (0,4). Draw a line through the two points.
6) this problem does not have a slope. It only has a y intercept of 3. Since it does not have a slope, the line is flat. So, draw a straight, horizontal line through (0,3). This means that x has infinitely many solutions, but y will always be 3.
Extra tip: My old math teacher was a volleyball coach. Here’s something she shared with us to remember how to graph negative versus positive slopes. At practice, we’d walk up and down a hill to work our muscles. On the way up, we’re working our muscles, strengthening our bodies, so it’s considered positive. From left to right, the slope of the hill goes up and it is positive. On the way down, your muscles are resting, and the girls are most likely gossiping, so it is considered negative. From left to right, the slope goes down, and it is negative.
