Question

Solve the following equations for x and y: 7x+5y=74 7x+1-5y+1=218

Answer 1

Answer:

$\text{The solution is }x=\frac{145}{7}, y=-71$

Step-by-step explanation:

Given two equations 7x+5y=74 and  7x+1-5y+1=218

i.e 7x+5y=74 and  7x-5y=216

we have to solve the equations.

$7x+5y=74$  →   (1)

$7x-5y=216$  →   (2)

Adding (1) and (2), we get

14x=290

$x=\frac{290}{14}=\frac{145}{7}$

$5y=74-7x=74-7(\frac{145}{7})=74-145=-71$

$\text{Hence, the solution is }x=\frac{145}{7}, y=-71$