Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
Solve the following system by substitution.
2x – 3y = –2
4x + y = 24
The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.
For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:
4x + y = 24
y = –4x + 24
Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:
2x – 3(–4x + 24) = –2
2x + 12x – 72 = –2
14x = 70
x = 5
46 degrees Fahrenheit
You know it increased every five minutes so 30 divided by 5 is 6. That’s 6 times it has increased. 6 multiplied by 3 which is how many degree it’s increased each increment gives you 18. That’s the told it’s increased by 30 minutes. Then add the original temperature which was 28 to 18 which gives you 46.
Answer:
x=4
Step-by-step explanation:
Hey there!
I am going to use this image as an example so you can understand the formula
The formula for problems like these is
B(BA)=D(DC)
So all we have to do is plug in the numeric values
so now we have 5(5+x+3)=6(6+x)
now we just solve for x
5(5+x+3)=6(6+x)
step 1 distribute the 5 to what is in the parenthesis (5, x and 3)
5x5=25
5*x=5x
5x3=15
so now we have
25+5x+15=6(6+x)
step 2 distribute the 6 to what is in the parenthesis (6 and x)
6x6=36
6*x=6x
now we have
25+5x+15=6x=36
step 3 combine like terms, the only like terms are 25 and 15
15+25=40
now we have
40+5x=6x+36
step 4 subtract 5x from each side
5x-5x cancels out
6x-5x=x
now we have
40=x+36
step 5 subtract 36 from each side
40-36=4
36-36 cancels out
now we have
x=4 so we can conclude that x=4
hope this helps :)
Well, looks like your out of luck cause we are not your teacher and most likely we are not your classmates, but hope you don't fail bud
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
