Answer:
(2,10) or x=2 y=10
Step-by-step explanation:
<em>1. Pick one of your equations and solve for a variable. I chose the first equation and solved for x.</em>
5x-2y=-10 (Move the -2y to the other side, you need to do the opposite so you add +2y to -10)
5x=2y-10 (Divide the 5 from the x)
x=2/5y-2
<em>2. Now take what you got for x and plug it into the x variable on the other equation.</em>
3(2/5y-2)+6y=66 (Multiply 3 by 2/5y and -2)
6/5y-6=6y=66 (Move the -6 to the other side and add 6/5y to 6y)
36/5y=72 (Since the number on the y is a fraction, you must do the opposite to the other side)
y=72/1 x 5/36 (Flip your fraction and multiply it by the 72)
y=10
<em>3. Now that you have one of the variables solved for, in order to get the other we must plug in what we have to the first equation.</em>
5x-2(10)=-10 (Multiple 2 by 10)
5x-20=-10 (Move -20 to the other side, since you do the opposite add +20 to the -10)
5x=10 ( Divide 10 by 5)
x= 2
<em>4. If needed, plug in the values of x and y to check your solution.</em>
Hope this could help! :)
The answer is a vertical line on the negative -2 (x-axis).
Okay so for substitution, chose one of of the equations to solve for x. Let's solve for the second one. So you have 2x-8y=32.
Start by adding 8y to both sides:
2x=8y+32.
Then you have to get x by itself so you divide both sides by 2 which will give you:
x=4y+16.
Now you have:
6x-4y=36
x=4y+16 (this was 2x-8y=32)
Now, plug in the second equation to the first one. You would do so by plugging in the second equation to where you see x. You would have:
6(4y+16)-4y=36
Now, multiply the 6 with the 4y and 16. you would then have:
24y+96-4y=36.
Now, combine your like terms to get:
20y+96=36
Then subtract 96 to both sides:
20y=-60
Then divide both sides so that you have y all by itself:
y=-30!
You now have the answer for y, so now plug what you got for y into the other equation: x+4y=16:
x+4(-30)=60
Solve for x:
x-120=60
add 120 to both sides:
x=180!
so Your answer is Y=-30 and X=180
I hope this helped:)
Answer:
-25
Step-by-step explanation:
The following are x-values (inputs) and their y-values (outputs) that are one value apart:
(Input, output)
✅(-2, 20) and (-1, -5)
Difference between their outputs = -5 - 20 = -25
✅(-1, -5) and (0, -30)
Difference between their outputs = -30 -(-5) = -25
✅(0, -30) and (1, -55)
Difference between their outputs = -55 -(-30) = -25
✅(1, -55) and (2, -80)
Difference between their outputs = -80 -(-55) = -25
As we can see the difference of outputs for any two inputs that are one value apart = -25
