Hi!
<u>Given these two equations:</u>
We want to solve using the substitution method. Knowing that x is equal to y + 8, we can simply plug in 'y + 8' in for x in the second equation, like so:
Combine like terms on both sides:
Subtract y from both sides:
Subtract 8 from both sides:
Now, we can simply plug the y value in to the first equation, and solve for x:
Simplify:
<u>Learn more about the substitution (and also elimination!) method here:</u>
<em>Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.</em>
<em>Find if both graphs are parallel, that means the equation must be false.</em>
<em /><em />
<em>Multiply whole equation by 2 to get rid of the fractional 2.</em>
<em /><em />
<em>Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5 </em>