Solve the system of equations.
y-10x=5
y=x^2+7x+5

see explanation

Step-by-step explanation:

Given the 2 equations

y - 10x = 5 → (1)

y = x² + 7x + 5 → (2)

From (1) express y in terms of x by adding 10x to both sides

y = 10x + 5 → (3)

Substitute y = 10x + 5 into (2)

10x + 5 = x² + 7x + 5 ( subtract 10x + 5 from both sides )

0 = x² - 3x ( take out common factor of x ), hence

x(x - 3) = 0

Equate each factor to zero and solve for x

x = 0

x - 3 = 0 ⇒ x = 3

Substitute these values into (3) for corresponding values of y

x = 0 : y = 0 + 5 = 5 ⇒ (0, 5 ) is a solution

x = 3 : y = 30 + 5 = 35 ⇒ (3, 35 ) is a solution

Solutions are (0, 5) , (3, 35)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

i have no idea just need points sorry

step-by-step explanation: