Answer:
To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.
-x + y = 4
y = x + 4
Now we can substitute this expression for y into the first equation and solve for x.
-2x + 2(x + 4) = 7
-2x + 2x + 8 = 7
8 = 7
The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.
Therefore, the solution to the system of equations is "No solution."
Note: Please be sure to double-check your work to avoid mistakes.
Explanation:
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