The value of x in this system of equations is 1.3x + y = 9y = - 4x + 10Substitute the value of y in the first equation:Combine like terms:Apply the subtraction property of equality:Apply the division property of equality:3x + (-4x + 10) = 9-x + 10 = 9-x = - 1x = 1What is the value of y?

3x + y = 9

y = - 4x + 10

First we will substitute y = - 4x+10 in the first equation in place of 'y'

3x + (-4x+10) = 9

⇒3x - 4x + 10 = 9

⇒ - 1x + 10 = 9

⇒ - 1x = - 1

⇒ x = - 1/-1 = 1

⇒ x = 1

Now, for finding the value of y, we will plug x=1 into the second equation.

y = - 4x + 10

y = - 4 (1) + 10

y = - 4 + 10

y = 6

So, the value of y is 6.