Answer:
x = 4/7
y = 60/7
Step-by-step explanation:
3x + 4y = 36
y = x + 8
Substitute the second equation into the first since it already has the y isolated for you:
3x + 4(x + 8) = 36
3x + 4x + 32 = 36
7x = 4
x = 4/7
Take the answer you got from the equation above and plug that into the second equation:
y = 4/7 + 8
y = 60/7
To check just LS/RS both equations:
3(4/7) + 4(60/7) = 36
12/7 = 240/7 = 36
252/7 = 36
36 = 36
LS = RS
60/7 = 4/7 + 8
60/7 = 60/7
LS = RS
Answer: " x = 16 ; - 4 " .
_____________________________
<u>Note</u>:
______________________________
-16 , +4 = -12 .
-16 * 4 = -64
______________________________
(x - 16)(x + 4) = 0 ;
______________________________
x = 16 ; - 4 .
_____________________________
If you shift function f(x) a units right you'll get f(x-a) function.
So if you have f(x) = x², you'll get f(x-10) = (x-10)² - answer B
other formulas:
a units left: f(x+a)
a units up: f(x)+a
a units down: f(x)-a
Step-by-step explanation:
I think both 3 and 9
D options
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
