Solve the given system of equations. 2x-y=3 3x+4y=10

x=3 and y=4

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxinx+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute4foryinx=−y+7:

x=−y+7

x=−4+7

x=3(Simplify both sides of the equation)

25 meters

Step-by-step explanation:

in this case they give us the information about the lake and that length corresponds to the perimeter.

the perimeter of a circle has the following formula:

p = 2 * pi * r

then r equals:

r = p / pi * 2

replacing we have:

r = 157 / (2 * 3.14)

r = 25

which means that the radius of the lake is 25 meters