Answer:
The correct answer is "[tex]x=\frac{1}{4}[/tex]" and "[tex]y=-\frac{1}{2}[/tex]"
Step-by-step explanation:
As we know,
y = -2x ...(equation 1)
y = 2x-1 ...(equation 2)
On putting the value of "equation 1" in the "equation 2", we get
⇒ [tex]y=2x-1[/tex]
⇒ [tex]-2x=2x-1[/tex]
On adding "2x" both sides, we get
⇒ [tex]-2x+2x=2x-1+2x[/tex]
⇒ [tex]0=4x-1[/tex]
⇒ [tex]4x=1[/tex]
⇒ [tex]x=\frac{1}{4}[/tex]
Now,
On putting the value of "x" in equation 1, we get
⇒ [tex]y=-2x[/tex]
⇒ [tex]y=-2\times \frac{1}{4}[/tex]
⇒ [tex]y=-\frac{1}{2}[/tex]