Question

If y=6x+8 and y=-4x-2,what is the value of x+y when the two equations are equal?

Answer 1

Greetings!

Answer:

x + y = 1

Step-by-step explanation:

If the two equations are the same, then it can be shown by this:

6x + 8 = -4x - 2

We need to isolate the x values, so we need to move the -4x over to the other side making it a +4x:

6x + 4x + 8 = -2

Next, move the +8 over to the other side making it a -8:

6x + 4x = -2 - 8

10x = -10

x = -1

So now we can plug this value into the first equation:

6(-1) + 8 = y

-6 + 8 = y

y = 2

x + y = -1 + 2 = 1

So x + y = 1

Hope this helps!

Answer 2

6x+8=-4x-2
10x=-10 /:10
x=-1
y=-6*(-1)+8
y=-6+8
y=2