Question

Y=x+6
y=2x+7

solve system by using equal values method

Answer 1

Explanation:

We would make these two equations equal to each other since both equations are in y= form

`(x + 6) = (2x + 7)`

Now to get numbers on one side and X's on the other.

Let's start by subtracting 6 from both sides

`x = 2x + 1`

Next we can subtract 2X

`- x = 1`

Last but not least, we can divide by -1 to reverse the signs

`x = - 1`

Answer 2

(- 1, 5 )

Explanation:

y = x + 6 → (1)

y = 2x + 7 → (2)

since both equations have y on the left side, then equate the right sides

2x + 7 = x + 6 ( subtract x from both sides )

x + 7 = 6 ( subtract 7 from both sides )

x = - 1

substitute x = - 1 into either of the 2 equations for y

substituting into (1)

y = x + 6 = - 1 + 6 = 5

solution is (- 1, 5 )