3 years ago

3x+1y=6 2x-1y=-1 plz helpllllllllll

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

Answer:

x=1 y=3

Step-by-step explanation:

3x+y=6 is the same as y=6-3x

2x-y=-1 is the same as y=2x+1

set them equal to each other

6-3x=2x+1

5x=5

x=1

substitute the value of x into either equation

y=2(1) +1

y=3

You might be interested in

Choose the best graph that represents the linear equation: -2y = x + 6 Graph A On a coordinate plane, a line goes through (negat

Aleksandr-060686 [28]

Answer:

i think its A

Step-by-step explanation:

divide both sides by -2 which makes the y int -3 and A has a negative slope

6 0

2 years ago

The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m,

choli [55]

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

7 0

3 years ago

Tamara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cas

FinnZ [79.3K]

B. $624

$8 * 25 hrs = $200 a week w/out taxes taken
$200 * 4 weeks = $800 monthly w/out taxes taken
$800 * .22 = $176 of taxes per month
$800 - $176 = $624 per month

4 0

3 years ago

Read 2 more answers

Evaluate 4-0.25g+0.5h when g=10 and h=5

lord [1]

Answer:

Step-by-step explanation:

$4 - 0.25g + 0.5h \\ = 4 - 0.25 \times 10 + 0.5 \times 5 \\ = 4 - 2.5 + 2.5 \\ = 4$

6 0

3 years ago

Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One common ch

enot [183]

Answer:

$y=\frac{-7t^2+22t-7}{7t-22}$

Step-by-step explanation:

We are given that

Initial value problem

$y'=(t+y)^2-1$ , y(3)=4

Substitute the value $z=t+y$

When t=3 and y=4 then

z=3+4=7

$y'=z^2-1$

Differentiate z w.r.t t

Then, we get

$\frac{dz}{dt}=1+y'$

$z'=1+z^2-1=z^2$

$z^{-2}dz=dt$

Integrate on both sides

$-\frac{1}{z}dz=t+C$

$z=-\frac{1}{t+C}$

Substitute t=3 and z=7

Then, we get

$7=-\frac{1}{3+C}$

$21+7C=-1$

$7C=-1-21=-22$

$C=-\frac{22}{7}$

Substitute the value of C then we get

$z=-\frac{1}{t-\frac{22}{7}}$

$z=\frac{-7}{7t-22}$

$y=z-t$

$y=\frac{-7}{7t-22}-t$

$y=\frac{-7-7t^2+22t}{7t-22}$

$y=\frac{-7t^2+22t-7}{7t-22}$

8 0

3 years ago