Question

7x-4y=23, 4x+5y=35
simultaneously solve the following

Answer 1

Step-by-step explanation:

• 7x - 4y = 23 )--------(1)
• 4x + 5y = 35 )--------(2)

from equation (2)

• 4x + 5y = 35
• 5y = 35 - 4x
• $y = 7 - \frac{4x}{5}$

putting value of y in equation (1)

• $7x - 4(7 - \frac{4x}{5} ) = 23$
• $7x - 28 + \frac{16x}{5} = 23$
• $7x + \frac{16x}{5} = 23 + 28$
• $\frac{35 x + 16x}{5} = 51$
• $35x + 16x = 51(5)$
• $51x = 51(5)$
• $x = \frac{51(5)}{51}$
• $x = 5$

putting value of X in equation of y,

• y = 7 - 4
• y = 3