‼️can anyone help please

Solve the system<br> 4x + 2y = 10<br> x = y + 13

Maslowich

Answer:

$x = 6$

$y = -7$

Step-by-step explanation:

We have the system of equations:

$4x+2y=10\\x=y+13$

Let's solve by substituting. We know that $x=y+13$ , so we can substitute $y+13$ in as $x$ in the equation $4x+2y=10$ .

$4(y+13) + 2y = 10$

Simplify this down so that we have $y$ on one side of the equation:

$4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7$

Now that we know the value of $y$ , we can substitute it in to the equation $x = y+13$ to find $x$ .

$x = -7+13\\\\x = 6$

Hope this helped!

3 0

3 years ago

Read 2 more answers

7. Mrs. Golden pulls names from the jar to determine who will be the class leader. There are 13

Artist 52 [7]

Answer:

9:22

Step-by-step explanation:

9 is the boys 13 is the girls

22 is the total

3 0

3 years ago

Kylie bought 5 rolls of paper towels. She got 411.2 meters of paper towels in all. How many meters of paper towels were on each

NNADVOKAT [17]

Answer:82.24 meters were on each roll

Step-by-step explanation: 411.2/5=82.24

3 0

2 years ago

Read 2 more answers

Look at the two temperatures. How much have they changed by?<br> 4 degrees to -10 degrees

aliina [53]

Answer:

$\displaystyle 14$

Step-by-step explanation:

we are given two temperature

4 degrees and -10 degrees

since it says to figure out the changed

substract

$\displaystyle 4 - ( - 10)$

remove parentheses and change its sign

$\displaystyle 4 + 10$

simplify addition:

$\displaystyle 14$

and we are done!

4 0

3 years ago

Read 2 more answers

I don't know how to do this or what i'm doing plz help

mote1985 [20]

recalling that d = rt, distance = rate * time.

we know Hector is going at 12 mph, and he has already covered 18 miles, how long has he been biking already?

$\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 12&1\\ 18&x \end{array}\implies \cfrac{12}{18}=\cfrac{1}{x}\implies 12x=18\implies x=\cfrac{18}{12}\implies x=\cfrac{3}{2}$

so Hector has been biking for those 18 miles for 3/2 of an hour, namely and hour and a half already.

then Wanda kicks in, rolling like a lightning at 16mph.

let's say the "meet" at the same distance "d" at "t" hours after Wanda entered, so that means that Wanda has been traveling for "t" hours, but Hector has been traveling for "t + (3/2)" because he had been biking before Wanda.

the distance both have travelled is the same "d" miles, reason why they "meet", same distance.

$\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hector&d&12&t+\frac{3}{2}\\[1em] Wanda&d&16&t \end{array}\qquad \implies \begin{cases} \boxed{d}=(12)\left( t+\frac{3}{2} \right)\\[1em] d=(16)(t) \end{cases}$

$\bf \stackrel{\textit{substituting \underline{d} in the 2nd equation}}{\boxed{(12)\left( t+\frac{3}{2} \right)}=16t}\implies 12t+18=16t \\\\\\ 18=4t\implies \cfrac{18}{4}=t\implies \cfrac{9}{2}=t\implies \stackrel{\textit{four and a half hours}}{4\frac{1}{2}=t}$

7 0

3 years ago