Answer:
(3.25, 1.5)
Step-by-step explanation:
<em><u>First, turn the 2nd equation into y=mx+b form:</u></em>
у+ 2x = 8
<u> -2x -2x</u>
y = -2x + 8
<u><em>Next Substitute:</em></u>
З(-2x+8) - 2x = -2
-6x + 24 - 2x = -2
-8x + 24 = -2
<u><em>Then simplify:</em></u>
-8x + 24 = -2
<u> -24 -24</u>
-8x = -26
x = 3.25
<em><u>Lastly, substitute x into any one of the original equations:</u></em>
y + 2 (3.25) =8
y + 6.5 = 8
<u> - 6.5 - 6.5</u>
y = 1.5
please give me brainliest i worked hard on this :,)
and its 1000% correct, i checked it i promise
Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).
Answer: The answer is B $3.36 per gallon
Step-by-step explanation:
integrate to get
![[ln|t|]^{3x}_x=ln|3x|-ln|x|=ln| \frac{3x}{x}| =ln |3|=ln(3)](https://tex.z-dn.net/?f=%5Bln%7Ct%7C%5D%5E%7B3x%7D_x%3Dln%7C3x%7C-ln%7Cx%7C%3Dln%7C%20%5Cfrac%7B3x%7D%7Bx%7D%7C%20%3Dln%20%7C3%7C%3Dln%283%29)
this only is true when x>0
when x turns negative, we get -ln(3) because of math
Answer:
Yes, (0,4) is a solution
Step-by-step explanation:
We have to plug in 0 in x and 4 in y IN BOTH THE INEQUALITIES.
IF BOTH ARE TRUE, then the system of inequalities is TRUE.
<u>Let's check:</u>
y ≤ -3x+4
4 ≤ -3(0)+4
4 ≤ 4
Is 4 less than OR equal to 4? Yes. THis is satisfied.
<u>Now, checking 2nd one:</u>
y > x^2 + 3x - 2
4 > (0)^2 + 3(0) - 2
4 > -2
Is 4 greater than -2? Yes, it is. So this is satisfied as well.
Hence, (0,4) is a solution to the system of inequalities shown.
