Question

please solve n find x and y
-4x+4y=160
3y-7x=180
please solve it step by step
can anyone solve it correctly ​

Answer 1

y = 25 and x = -15

Here you go budd. Best of luck

Answer 2

Answer:-

$\red{\bigstar}$$\large\leadsto\boxed{\rm\pink{x = \: -15}}$

$\red{\bigstar}$$\large\leadsto\boxed{\rm\pink{y = \: 25}}$

• Given:-

✧ $\sf{-4x + 4y = 160}\dashrightarrow\bf\red{[eqn.i]}$

✧ $\sf{3y - 7x = 180}\dashrightarrow\bf\red{[eqn.ii]}$

• To Find:-

✧ Value of x and y

• Solution:-

Taking [eqn.i]:-

→ $\sf{-4(x - y) = 160}$

→ $\sf{x-y = \dfrac{160}{-4}}$

→ $\sf{x - y = - 40}\dashrightarrow\bf\red{[eqn.iii]}$

Multiplying eqn.[iii] by 3

→ $\sf{(x - y = -40)\times 3}$

→ $\sf{3x - 3y = -120}\dashrightarrow\bf\red{[eqn.iv]}$

• Adding [eqn.i] with [eqn. iv]:-

→ $\sf{-7x + 3y + (3x - 3y) = 180 + (-120)}$

→ $\sf{-7x + 3y + 3x - 3y = 180 - 120}$

→ $\sf{-7x + 3x = 60}$

→ $\sf{-4x = 60}$

→ $\sf{x = \dfrac{60}{-4}}$

→ $\large\bf\green{x = -15}$

Substituting the value of x in eqn.[i]:-

→ $\sf{-4x + 4y = 160}$

→ $\sf{-4(-15) + 4y = 160}$

→ $\sf{60 + 4y = 160}$

→ $\sf{4y = 160 - 60}$

→ $\sf{4y = 100}$

→ $\sf{y = \dfrac{100}{4}}$

→ $\large\bf\green{y = 25}$

Therefore, the value of x is -15 and the value of y is 25.