Question

How can x + 8 = −x + 7 be set up as a system of equations?

Answer 1

y = x + 8
y = -x + 7
Let the expression on the left side equal one linear equation (y = left side)
and the expression on the right side equal another linear equation (y = right side)

Answer 2

Answer: The required system of equations can be set up in the following way :

`y=x+8,\\\\y=-x+7.`

Step-by-step explanation: We are given to state the method to set up the following equation as a system of equations :

`x+8=-x+7=0.`

Let us consider another unknown variable y so that the following relation holds :

`y=x+8=-x+7.`

Then, we can write two equations from the above equation as follows :

`y=x+8~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-x+7~~~~~~~~~~~~~~~~~~~~(ii)`

Thus, we can set up the given equation as a system of equations in the following way :

`y=x+8,\\\\y=-x+7.`