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

User Kidane
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2 Answers

6 votes
6x+8=-4x-2
10x=-10 /:10
x=-1
y=-6*(-1)+8
y=-6+8
y=2
User Chanaka
by
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3 votes

Greetings!

Answer:

x + y = 1

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!

User Jason Perfetto
by
7.6k points

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