Question

Solve the system of equations.

5y−4x=−7

2y+4x=14

y=
x=

Answer 1

5y-4x= -7

5y= -7+4x

y= -7+4x/5

2y+4x=14

4x=14 - 2y

x=14 - 2y/4

I hope it is helpful

Answer 2

$\huge{\underline{\sf{\red{Answer}}}}$

GIVEN:

Quadratic Equations

• 5y-4x=-7

• 2y+4x=14

SoluTion:

By Elimination Method

Multiplying (-1) in 1$^st$ Equation

$(-1)\times (5y-4x=-7)$

$\implies$ -5y+4x=7

Now,by applying the method

$-5y+4x=7\\ \:+2y+4x=14 \\{\underline{-\:\: \: \: -\: \: \: \: \: \: \: \: \: -\: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ -5y-2y +4x-4x = 7-14 \\ \\ -7y = -7$

$\boxed{y=1}$

Now,

Value of x

Applying value of y in 1st Equation

5(1) -4x = -7

$\implies$ -4x = -7 -5

$\implies$ x = $\dfrac{\cancel{-12}}{\cancel{-4}}$

$\implies$$\large{\boxed{x=3}}}$