If Dakota lives 1,500 miles from school. She leaves for school walking at a speed of 60 meters per minuite. Write an equation fo
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Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,
Now we have to move 4x to the left side by subtracting 4x from both sides.
To get x, we will divide both sides by 17. We will get,
So the smaller number =
The larger number = =
So we have got the required numbers.
Smaller number = and larger number =
.
Xy=11
x+y=-26
x+y=-26
minus x both sides
y=-26-x
sub for y
x(-26-x)=11
-26x-x^2=11
add 26x+x^2 both sides
x^2+26x+11=0
ax^2+bx+c=0
x=
a=1
b=26
c=11
x=
x=
x=
x=
x=
x=
or 
aprox
x=-0.420195 or -25.5698
those are the numbers
x+y=-26
x+y=-26
minus x both sides
y=-26-x
sub for y
x(-26-x)=11
-26x-x^2=11
add 26x+x^2 both sides
x^2+26x+11=0
ax^2+bx+c=0
x=
a=1
b=26
c=11
x=
x=
x=
x=
x=
x=
aprox
x=-0.420195 or -25.5698
those are the numbers