Question

Solve the given equations by using
Substitution method,4x-3y=6, 5x+2y=17

Answer 1

Answer:

x=1008/23

y=38/23

Step-by-step explanation:

1st equation:-

$\large{\Longrightarrow4x - 3y = 6 }$

$\large{\Longrightarrow 4x = 6 + 3y}$

$\large{\Longrightarrow x = \frac{6 + 3y}{4} }$

Put the value of x in 2nd equation:-

$\large{\Longrightarrow 5x + 2y = 17}$

$\large{\Longrightarrow 5x = 17 - 2y}$

$\large{\Longrightarrow x = \frac{17 - 2y}{5} }$

$\large{\Longrightarrow \frac{6 + 3y}{4} = \frac{17 - 2y}{5} }$

Cross multiply:-

$\large{\Longrightarrow5(6 + 3y) = 4(17 - 2y) }$

$\large{\Longrightarrow 30 + 15y = 68 - 8y}$

$\large{\Longrightarrow15y + 8y = 68 - 30 }$

$\large{\Longrightarrow 23y = 38}$

$\large{\Longrightarrow y = \frac{38}{23} }$

Substitute value of y back in a equation:-

$\large{\Longrightarrow 4x = 6 + 3y}$

$\large{\Longrightarrow 4x = 6 + 3 \times \frac{38}{2 3} }$

$\large{\Longrightarrow 4x = 6 + \frac{114}{23} }$

$\large{\Longrightarrow 4x = \frac{252}{23} }$

$\large{\Longrightarrow x = \frac{10008}{23} }$

Hope it helps you friend

Thank you ✌️