Question

Solve the system of equations by graphing y=x y=-3x+4

Answer 1

Answer:

(1,1)

Step-by-step explanation:

Since we have a defined variable, we can use substitution to solve.

If $y=x$, that means that we can substitute $x$ for anywhere we have $y$.

$y=-3x+4$

$x=-3x+4$

Then, we can combine like terms and simplify the equation to find $x$.

$(x+3x) = (-3x+3x) +4$

$4x=4$

$(\frac{4x}{4}) = (\frac{4}{4})$

So, $x=1$.

$y=x$, therefore $y$ also equals 1.

Lines $y=x$ and $y=-3x+4$ meet at point (1,1).