Question

The square of x is equal to 4 time the square of y. If x in one more than twice y, what is the value of x.
a(-4)
b(-1/2)
c(-1/4)
d(1/4)
e(1/2

Answer 1

x^2 = 4y^2

x = 2y + 1

Substitute 2y + 1 for x in the first equation so that you only have one variable.

(2y+1)^2 = 4y^2

(2y+1)(2y+1) = 4y^2

4y^2 + 4y + 1 = 4y^2
4y + 1 = 0
4y = -1
y = -1/4

x = 2y + 1
x = 2(-1/4) + 1
x = -1/2 + 1
x = -1/2

Answer 2

so you sub the x into the y.
Thanks!