Question

Solve for x and y -
ax + by = a+b/2
3x + 5y = 4

Answer 1

Answer:

Hence, the solutions are y = $\frac{5a - 3b}{10a + 6b}$. and x = $\frac{4-5(\frac{5a-3b}{10a + 6b} )}{3}$.

Step-by-step explanation:

Our question is: Solve for x and y - ax + by = a+b/2 and 3x + 5y = 4.

First, lets pick the second equation and organize it in terms of x, hence we get $x = \frac{4 - 5y}{3}$.

Thus, we can substitute this x in the first equation, and we would get $a(\frac{4 - 5y}{3}) + by = \frac{a+b}{2}$.

Hence, we need to solve this equations in terms of y, hence we will achieve y equal to $\frac{5a - 3b}{10a + 6b}$.

Hence, the solutions are y = $\frac{5a - 3b}{10a + 6b}$. and x = $\frac{4-5(\frac{5a-3b}{10a + 6b} )}{3}$.