Question

How do you solve the equation x-2y-1=0 y-5x+14=0

Answer 1

The solution is x= 3 and y = 1

Step-by-step explanation:

Given equations are:

$x-2y-1 = 0\ \ \ \ Eqn1\\y-5x+14 = 0\ \ \ \ Eqn2$

From equation 1:

$x = 2y+1$

Putting in equation 2:

$y - 5(2y+1)+14 = 0\\y-10y-5 +14 = 0\\-9y-5+14 = 0\\-9y+9 = 0\\-9y+9-9 = 0-9\\-9y = -9$

Dividing both sides by -9

$\frac{-9y}{-9} = \frac{-9}{-9}\\y = 1$

Putting y = 1 in equation 1:

$x - 2(1)-1 = 0\\x -2-1 = \\x-3 = 0\\x-3+3 = 0+3\\x = 3$

Hence,

The solution is x= 3 and y = 1

Keywords: Linear equations, polynomials

Learn more about linear equations at:

• brainly.com/question/4021035
• brainly.com/question/4034547

#LearnwithBrainly