Solve the following pair of linear equations for x and y:141x + 93y = 189;93x + 141y = 45

To solve the given pair of linear equations, we can use the method of substitution or elimination. Let's use the method of substitution.

Step 1: Solve one equation for one variable in terms of the other variable. From the first equation, we can solve for x: 141x + 93y = 189 141x = 189 - 93y x = (189 - 93y) / 141

Step 2: Substitute the expression for x into the second equation. Substituting the value of x in the second equation, we get: 93((189 - 93y) / 141) + 141y = 45

Step 3: Simplify and solve for y. Multiplying through by 141 to eliminate the denominator, we have: 93(189 - 93y) + 141y = 45 * 141 17697 - 8649y + 141y = 6345 -7236y = 6345 - 17697 -7236y = -11352 y = (-11352) / (-7236) y = 1.57 (rounded to two decimal places)

Step 4: Substitute the value of y back into the expression for x. Using the value of y in the expression for x, we have: x = (189 - 93(1.57)) / 141 x = 0.45 (rounded to two decimal places)

Therefore, the solution to the pair of linear equations is x = 0.45 and y = 1.57.