Question

Find the solution of this system of equations -6y=-50-4x 5x-6y=-49

Answer 1

Answer:

$(1,\ 9)$

Step-by-step explanation:

Rewrite the first equation

$-6y=-50-4x\\\\4x-6y=-50$

Now we have the following system of equations

$4x-6y=-50\\5x-6y=-49$

To solve the system of equations multiply the first equation by -1 and add it to the second equation

$-1*4x-(-1)*6y=-50*(-1)\\\\-4x+ 6y=50$

$-4x+ 6y=50$

        +

$5x-6y=-49$

-----------------------------------

$x + 0 =1\\\\x=1$

Now substitute the value of x in any of the two equations and solve for y

$5(1)-6y=-49$

$5-6y=-49$

$-6y=-49-5$

$-6y=-54$

$y=\frac{54}{6}$

$y=9$

The solution is:

$(1,\ 9)$

Answer 2

Answer:

1,9

Step-by-step explanation: